96386544 has 80 divisors (see below), whose sum is σ = 291251200. Its totient is φ = 30435264.

The previous prime is 96386509. The next prime is 96386551. The reversal of 96386544 is 44568369.

96386544 is a `hidden beast` number, since 9 + 638 + 6 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96386544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 14079.

It is an arithmetic number, because the mean of its divisors is an integer number (3640640).

Almost surely, 2^96386544 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 96386544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145625600).

96386544 is an abundant number, since it is smaller than the sum of its proper divisors (194864656).

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

96386544 is a wasteful number, since it uses less digits than its factorization.

96386544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11779 (or 11767 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 96386544 is about 9817.6648954830. The cubic root of 96386544 is about 458.4994329407.

The spelling of 96386544 in words is "ninety-six million, three hundred eighty-six thousand, five hundred forty-four".