93648672 has 72 divisors (see below), whose sum is σ = 286810524. Its totient is φ = 28813824.

The previous prime is 93648671. The next prime is 93648673. The reversal of 93648672 is 27684639.

It is an interprime number because it is at equal distance from previous prime (93648671) and next prime (93648673).

It can be written as a sum of positive squares in 2 ways, for example, as 91470096 + 2178576 = 9564^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (93648671) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8763 + ... + 16250.

Almost surely, 2^93648672 is an apocalyptic number.

It is an amenable number.

93648672 is an abundant number, since it is smaller than the sum of its proper divisors (193161852).

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

93648672 is a wasteful number, since it uses less digits than its factorization.

93648672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25042 (or 25031 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 93648672 is about 9677.2243954555. The cubic root of 93648672 is about 454.1164223668.

The spelling of 93648672 in words is "ninety-three million, six hundred forty-eight thousand, six hundred seventy-two".