247738080 has 96 divisors (see below), whose sum is σ = 793261728. Its totient is φ = 64972800.

The previous prime is 247738033. The next prime is 247738103. The reversal of 247738080 is 80837742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×247738080² = 122748312564172800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25050 + ... + 33510.

It is an arithmetic number, because the mean of its divisors is an integer number (8263143).

Almost surely, 2^247738080 is an apocalyptic number.

247738080 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 247738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396630864).

247738080 is an abundant number, since it is smaller than the sum of its proper divisors (545523648).

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

247738080 is a wasteful number, since it uses less digits than its factorization.

247738080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 247738080 is about 15739.6975828635. The cubic root of 247738080 is about 628.0548723471.

The spelling of 247738080 in words is "two hundred forty-seven million, seven hundred thirty-eight thousand, eighty".