93938832 has 160 divisors (see below), whose sum is σ = 297897600. Its totient is φ = 28159488.

The previous prime is 93938813. The next prime is 93938837. The reversal of 93938832 is 23883939.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93938837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241294 + ... + 241682.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^93938832 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 93938832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

93938832 is an abundant number, since it is smaller than the sum of its proper divisors (203958768).

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

93938832 is a wasteful number, since it uses less digits than its factorization.

93938832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 93938832 is about 9692.2047027495. The cubic root of 93938832 is about 454.5849485587.

It can be divided in two parts, 9393 and 8832, that added together give a square (18225 = 135²).

The spelling of 93938832 in words is "ninety-three million, nine hundred thirty-eight thousand, eight hundred thirty-two".