96697600 has 108 divisors (see below), whose sum is σ = 248070060. Its totient is φ = 37273600.

The previous prime is 96697561. The next prime is 96697607. The reversal of 96697600 is 679669.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5456896 + 91240704 = 2336^2 + 9552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96697607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185340 + ... + 185860.

It is an arithmetic number, because the mean of its divisors is an integer number (2296945).

Almost surely, 2^96697600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124035030).

96697600 is an abundant number, since it is smaller than the sum of its proper divisors (151372460).

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

96697600 is a wasteful number, since it uses less digits than its factorization.

96697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 96697600 is about 9833.4937840017. The cubic root of 96697600 is about 458.9921222362.

The spelling of 96697600 in words is "ninety-six million, six hundred ninety-seven thousand, six hundred".