96931840 has 52 divisors (see below), whose sum is σ = 232657164. Its totient is φ = 38764544.

The previous prime is 96931837. The next prime is 96931853. The reversal of 96931840 is 4813969.

It can be written as a sum of positive squares in 2 ways, for example, as 25563136 + 71368704 = 5056^2 + 8448^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 96931793 and 96931802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18114 + ... + 22846.

Almost surely, 2^96931840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116328582).

96931840 is an abundant number, since it is smaller than the sum of its proper divisors (135725324).

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

96931840 is an equidigital number, since it uses as much as digits as its factorization.

96931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 96931840 is about 9845.3968939805. The cubic root of 96931840 is about 459.3624437927.

The spelling of 96931840 in words is "ninety-six million, nine hundred thirty-one thousand, eight hundred forty".