97601600 has 42 divisors (see below), whose sum is σ = 240164874. Its totient is φ = 39040000.

The previous prime is 97601591. The next prime is 97601611. The reversal of 97601600 is 610679.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10291264 + 87310336 = 3208^2 + 9344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28901 + ... + 32100.

Almost surely, 2^97601600 is an apocalyptic number.

It is an amenable number.

97601600 is an abundant number, since it is smaller than the sum of its proper divisors (142563274).

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

97601600 is a wasteful number, since it uses less digits than its factorization.

97601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61023 (or 61008 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 97601600 is about 9879.3522054839. The cubic root of 97601600 is about 460.4180195106.

The spelling of 97601600 in words is "ninety-seven million, six hundred one thousand, six hundred".