96344640 has 392 divisors, whose sum is σ = 399775680. Its totient is φ = 21648384.

The previous prime is 96344617. The next prime is 96344659. The reversal of 96344640 is 4644369.

96344640 is a `hidden beast` number, since 9 + 6 + 3 + 4 + 4 + 640 = 666.

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 = 96344595 and 96344604.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632931 + ... + 1632989.

Almost surely, 2^96344640 is an apocalyptic number.

96344640 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 96344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199887840).

96344640 is an abundant number, since it is smaller than the sum of its proper divisors (303431040).

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

96344640 is an equidigital number, since it uses as much as digits as its factorization.

96344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 96344640 is about 9815.5305511215. The cubic root of 96344640 is about 458.4329791793.

The spelling of 96344640 in words is "ninety-six million, three hundred forty-four thousand, six hundred forty".