97846800 has 120 divisors (see below), whose sum is σ = 318375456. Its totient is φ = 25681920.

The previous prime is 97846799. The next prime is 97846831. The reversal of 97846800 is 864879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79792 + ... + 81008.

Almost surely, 2^97846800 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 97846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159187728).

97846800 is an abundant number, since it is smaller than the sum of its proper divisors (220528656).

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

97846800 is a wasteful number, since it uses less digits than its factorization.

97846800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 97846800 is about 9891.7541417081. The cubic root of 97846800 is about 460.8032594050.

The spelling of 97846800 in words is "ninety-seven million, eight hundred forty-six thousand, eight hundred".