97600896 has 128 divisors (see below), whose sum is σ = 297676800. Its totient is φ = 31449600.

The previous prime is 97600883. The next prime is 97600901. The reversal of 97600896 is 69800679.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106681 + ... + 107591.

It is an arithmetic number, because the mean of its divisors is an integer number (2325600).

Almost surely, 2^97600896 is an apocalyptic number.

97600896 is a gapful number since it is divisible by the number (96) 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 97600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838400).

97600896 is an abundant number, since it is smaller than the sum of its proper divisors (200075904).

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

97600896 is a wasteful number, since it uses less digits than its factorization.

97600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 97600896 is about 9879.3165755532. The cubic root of 97600896 is about 460.4169125101.

The spelling of 97600896 in words is "ninety-seven million, six hundred thousand, eight hundred ninety-six".