97464800 has 72 divisors (see below), whose sum is σ = 248327856. Its totient is φ = 37283840.

The previous prime is 97464799. The next prime is 97464803. The reversal of 97464800 is 846479.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97464803) 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, 15752 + ... + 21048.

It is an arithmetic number, because the mean of its divisors is an integer number (3448998).

Almost surely, 2^97464800 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 97464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124163928).

97464800 is an abundant number, since it is smaller than the sum of its proper divisors (150863056).

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

97464800 is a wasteful number, since it uses less digits than its factorization.

97464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 97464800 is about 9872.4262468757. The cubic root of 97464800 is about 460.2028091212.

The spelling of 97464800 in words is "ninety-seven million, four hundred sixty-four thousand, eight hundred".