96637860 has 360 divisors, whose sum is σ = 364989240. Its totient is φ = 21288960.

The previous prime is 96637859. The next prime is 96637873. The reversal of 96637860 is 6873669.

96637860 is a `hidden beast` number, since 9 + 6 + 637 + 8 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 75898944 = 4554^2 + 8712^2 .

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 119 ways as a sum of consecutive naturals, for example, 3332326 + ... + 3332354.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 2^96637860 is an apocalyptic number.

96637860 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 96637860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

96637860 is an abundant number, since it is smaller than the sum of its proper divisors (268351380).

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

96637860 is a wasteful number, since it uses less digits than its factorization.

96637860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96637860 is about 9830.4557371467. The cubic root of 96637860 is about 458.8975806341.

The spelling of 96637860 in words is "ninety-six million, six hundred thirty-seven thousand, eight hundred sixty".