93875040 has 288 divisors, whose sum is σ = 374250240. Its totient is φ = 20984832.

The previous prime is 93875021. The next prime is 93875053. The reversal of 93875040 is 4057839.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93874986 and 93875004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675291 + ... + 675429.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^93875040 is an apocalyptic number.

93875040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

93875040 is an abundant number, since it is smaller than the sum of its proper divisors (280375200).

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

93875040 is a wasteful number, since it uses less digits than its factorization.

93875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 93875040 is about 9688.9132517533. The cubic root of 93875040 is about 454.4820253795.

The spelling of 93875040 in words is "ninety-three million, eight hundred seventy-five thousand, forty".