96388672 has 56 divisors (see below), whose sum is σ = 207914240. Its totient is φ = 44167680.

The previous prime is 96388651. The next prime is 96388687. The reversal of 96388672 is 27688369.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36418 + ... + 38974.

Almost surely, 2^96388672 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 96388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103957120).

96388672 is an abundant number, since it is smaller than the sum of its proper divisors (111525568).

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

96388672 is a wasteful number, since it uses less digits than its factorization.

96388672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2609 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 96388672 is about 9817.7732709612. The cubic root of 96388672 is about 458.5028071310.

The spelling of 96388672 in words is "ninety-six million, three hundred eighty-eight thousand, six hundred seventy-two".