96647040 has 512 divisors, whose sum is σ = 423014400. Its totient is φ = 20348928.

The previous prime is 96647029. The next prime is 96647077. The reversal of 96647040 is 4074669.

96647040 is a `hidden beast` number, since 9 + 6 + 647 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 96646986 and 96647004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056297 + ... + 2056343.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^96647040 is an apocalyptic number.

96647040 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 96647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

96647040 is an abundant number, since it is smaller than the sum of its proper divisors (326367360).

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

96647040 is a wasteful number, since it uses less digits than its factorization.

96647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 96647040 is about 9830.9226423566. The cubic root of 96647040 is about 458.9121109862.

The spelling of 96647040 in words is "ninety-six million, six hundred forty-seven thousand, forty".