247319920 has 80 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 93848832.

The previous prime is 247319911. The next prime is 247319921. The reversal of 247319920 is 29913742.

247319920 is a nontrivial binomial coefficient, being equal to C(22241, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×247319920² = 122334285657612800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247319920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247319921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255277 + ... + 256243.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^247319920 is an apocalyptic number.

247319920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

247319920 is the 22240-th triangular number.

247319920 is the 7414-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

247319920 is an abundant number, since it is smaller than the sum of its proper divisors (357641360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247319920 is a wasteful number, since it uses less digits than its factorization.

247319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 247319920 is about 15726.4083630052. The cubic root of 247319920 is about 627.7013062904.

The spelling of 247319920 in words is "two hundred forty-seven million, three hundred nineteen thousand, nine hundred twenty".