93872064 has 168 divisors, whose sum is σ = 294509952. Its totient is φ = 26158080.

The previous prime is 93872057. The next prime is 93872069. The reversal of 93872064 is 46027839.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93872069) 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 23 ways as a sum of consecutive naturals, for example, 356797 + ... + 357059.

Almost surely, 2^93872064 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 93872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147254976).

93872064 is an abundant number, since it is smaller than the sum of its proper divisors (200637888).

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

93872064 is a wasteful number, since it uses less digits than its factorization.

93872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 93872064 is about 9688.7596729406. The cubic root of 93872064 is about 454.4772227085.

The spelling of 93872064 in words is "ninety-three million, eight hundred seventy-two thousand, sixty-four".