97473600 has 252 divisors, whose sum is σ = 396345664. Its totient is φ = 22256640.

The previous prime is 97473599. The next prime is 97473613. The reversal of 97473600 is 637479.

97473600 is a `hidden beast` number, since 9 + 7 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×97473600² = 19002205393920000, which contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100317 + ... + 101283.

Almost surely, 2^97473600 is an apocalyptic number.

97473600 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 97473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198172832).

97473600 is an abundant number, since it is smaller than the sum of its proper divisors (298872064).

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

97473600 is a wasteful number, since it uses less digits than its factorization.

97473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 97473600 is about 9872.8719225968. The cubic root of 97473600 is about 460.2166591226.

The spelling of 97473600 in words is "ninety-seven million, four hundred seventy-three thousand, six hundred".