96978560 has 64 divisors (see below), whose sum is σ = 264971520. Its totient is φ = 33248256.

The previous prime is 96978559. The next prime is 96978647. The reversal of 96978560 is 6587969.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×96978560⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96978499 and 96978508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6344 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (4140180).

Almost surely, 2^96978560 is an apocalyptic number.

It is an amenable number.

96978560 is an abundant number, since it is smaller than the sum of its proper divisors (167992960).

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

96978560 is a wasteful number, since it uses less digits than its factorization.

96978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21673 (or 21661 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 96978560 is about 9847.7692905551. The cubic root of 96978560 is about 459.4362343595.

The spelling of 96978560 in words is "ninety-six million, nine hundred seventy-eight thousand, five hundred sixty".