97684920 has 128 divisors (see below), whose sum is σ = 328320000. Its totient is φ = 25833600.

The previous prime is 97684903. The next prime is 97684981. The reversal of 97684920 is 2948679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162781 + ... + 163379.

It is an arithmetic number, because the mean of its divisors is an integer number (2565000).

Almost surely, 2^97684920 is an apocalyptic number.

97684920 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 97684920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160000).

97684920 is an abundant number, since it is smaller than the sum of its proper divisors (230635080).

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

97684920 is a wasteful number, since it uses less digits than its factorization.

97684920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97684920 is about 9883.5681815830. The cubic root of 97684920 is about 460.5489979588.

The spelling of 97684920 in words is "ninety-seven million, six hundred eighty-four thousand, nine hundred twenty".