97873920 has 260 divisors, whose sum is σ = 356799960. Its totient is φ = 25657344.

The previous prime is 97873907. The next prime is 97873943. The reversal of 97873920 is 2937879.

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 19 ways as a sum of consecutive naturals, for example, 1658851 + ... + 1658909.

Almost surely, 2^97873920 is an apocalyptic number.

97873920 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 97873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178399980).

97873920 is an abundant number, since it is smaller than the sum of its proper divisors (258926040).

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

97873920 is an equidigital number, since it uses as much as digits as its factorization.

97873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 97873920 is about 9893.1248854950. The cubic root of 97873920 is about 460.8458287753.

The spelling of 97873920 in words is "ninety-seven million, eight hundred seventy-three thousand, nine hundred twenty".