96009408 has 112 divisors (see below), whose sum is σ = 307969920. Its totient is φ = 29088000.

The previous prime is 96009371. The next prime is 96009409. The reversal of 96009408 is 80490069.

96009408 is a `hidden beast` number, since 9 + 600 + 9 + 40 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96009409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16483 + ... + 21533.

Almost surely, 2^96009408 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 96009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153984960).

96009408 is an abundant number, since it is smaller than the sum of its proper divisors (211960512).

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

96009408 is a wasteful number, since it uses less digits than its factorization.

96009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 96009408 is about 9798.4390593604. The cubic root of 96009408 is about 457.9006541322.

The spelling of 96009408 in words is "ninety-six million, nine thousand, four hundred eight".