97574400 has 540 divisors, whose sum is σ = 438654216. Its totient is φ = 20275200.

The previous prime is 97574387. The next prime is 97574413. The reversal of 97574400 is 447579.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97574387) and next prime (97574413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8870395 + ... + 8870405.

Almost surely, 2^97574400 is an apocalyptic number.

97574400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219327108).

97574400 is an abundant number, since it is smaller than the sum of its proper divisors (341079816).

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

97574400 is a wasteful number, since it uses less digits than its factorization.

97574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 97574400 is about 9877.9755010832. The cubic root of 97574400 is about 460.3752451651.

The spelling of 97574400 in words is "ninety-seven million, five hundred seventy-four thousand, four hundred".