97416400 has 60 divisors (see below), whose sum is σ = 235252800. Its totient is φ = 38765440.

The previous prime is 97416391. The next prime is 97416413. The reversal of 97416400 is 461479.

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, 95091 + ... + 96109.

It is an arithmetic number, because the mean of its divisors is an integer number (3920880).

Almost surely, 2^97416400 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 97416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117626400).

97416400 is an abundant number, since it is smaller than the sum of its proper divisors (137836400).

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

97416400 is a wasteful number, since it uses less digits than its factorization.

97416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 97416400 is about 9869.9746706869. The cubic root of 97416400 is about 460.1266192080.

Adding to 97416400 its reverse (461479), we get a palindrome (97877879).

The spelling of 97416400 in words is "ninety-seven million, four hundred sixteen thousand, four hundred".