97857600 has 336 divisors, whose sum is σ = 359054400. Its totient is φ = 23224320.

The previous prime is 97857589. The next prime is 97857631. The reversal of 97857600 is 675879.

It is a super-2 number, since 2×97857600² = 19152219755520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2644782 + ... + 2644818.

Almost surely, 2^97857600 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 97857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179527200).

97857600 is an abundant number, since it is smaller than the sum of its proper divisors (261196800).

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

97857600 is a wasteful number, since it uses less digits than its factorization.

97857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 97857600 is about 9892.3000358865. The cubic root of 97857600 is about 460.8202127515.

The spelling of 97857600 in words is "ninety-seven million, eight hundred fifty-seven thousand, six hundred".