97973640 has 96 divisors (see below), whose sum is σ = 328723200. Its totient is φ = 25280640.

The previous prime is 97973597. The next prime is 97973663. The reversal of 97973640 is 4637979.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 6771 + ... + 15549.

It is an arithmetic number, because the mean of its divisors is an integer number (3424200).

Almost surely, 2^97973640 is an apocalyptic number.

97973640 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 97973640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164361600).

97973640 is an abundant number, since it is smaller than the sum of its proper divisors (230749560).

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

97973640 is a wasteful number, since it uses less digits than its factorization.

97973640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 97973640 is about 9898.1634660173. The cubic root of 97973640 is about 461.0022883899.

The spelling of 97973640 in words is "ninety-seven million, nine hundred seventy-three thousand, six hundred forty".