97516400 has 60 divisors (see below), whose sum is σ = 236198424. Its totient is φ = 38688000.

The previous prime is 97516381. The next prime is 97516427. The reversal of 97516400 is 461579.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51470 + ... + 53330.

Almost surely, 2^97516400 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 97516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118099212).

97516400 is an abundant number, since it is smaller than the sum of its proper divisors (138682024).

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

97516400 is a wasteful number, since it uses less digits than its factorization.

97516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 97516400 is about 9875.0392404284. The cubic root of 97516400 is about 460.2840086091.

Adding to 97516400 its reverse (461579), we get a palindrome (97977979).

The spelling of 97516400 in words is "ninety-seven million, five hundred sixteen thousand, four hundred".