97251840 has 400 divisors, whose sum is σ = 404027712. Its totient is φ = 21897216.

The previous prime is 97251827. The next prime is 97251851. The reversal of 97251840 is 4815279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97251795 and 97251804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451487 + ... + 1451553.

Almost surely, 2^97251840 is an apocalyptic number.

97251840 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 97251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202013856).

97251840 is an abundant number, since it is smaller than the sum of its proper divisors (306775872).

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

97251840 is an equidigital number, since it uses as much as digits as its factorization.

97251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 97251840 is about 9861.6347529200. The cubic root of 97251840 is about 459.8673845817.

The spelling of 97251840 in words is "ninety-seven million, two hundred fifty-one thousand, eight hundred forty".