96408816 has 80 divisors (see below), whose sum is σ = 288148224. Its totient is φ = 27205632.

The previous prime is 96408803. The next prime is 96408817. The reversal of 96408816 is 61880469.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96408817) 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, 26160 + ... + 29616.

Almost surely, 2^96408816 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 96408816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

96408816 is an abundant number, since it is smaller than the sum of its proper divisors (191739408).

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

96408816 is a wasteful number, since it uses less digits than its factorization.

96408816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 96408816 is about 9818.7991119077. The cubic root of 96408816 is about 458.5347453142.

The spelling of 96408816 in words is "ninety-six million, four hundred eight thousand, eight hundred sixteen".