247720320 has 192 divisors, whose sum is σ = 885502800. Its totient is φ = 63737856.

The previous prime is 247720313. The next prime is 247720321. The reversal of 247720320 is 23027742.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×247720320² = 122730713881804800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247720321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166299 + ... + 167781.

Almost surely, 2^247720320 is an apocalyptic number.

247720320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442751400).

247720320 is an abundant number, since it is smaller than the sum of its proper divisors (637782480).

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

247720320 is a wasteful number, since it uses less digits than its factorization.

247720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 247720320 is about 15739.1333941866. The cubic root of 247720320 is about 628.0398638603.

The spelling of 247720320 in words is "two hundred forty-seven million, seven hundred twenty thousand, three hundred twenty".