93375540 has 72 divisors (see below), whose sum is σ = 284120928. Its totient is φ = 24822720.

The previous prime is 93375533. The next prime is 93375571. The reversal of 93375540 is 4557339.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 93375495 and 93375504.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79155 + ... + 80325.

It is an arithmetic number, because the mean of its divisors is an integer number (3946124).

Almost surely, 2^93375540 is an apocalyptic number.

93375540 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 93375540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142060464).

93375540 is an abundant number, since it is smaller than the sum of its proper divisors (190745388).

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

93375540 is a wasteful number, since it uses less digits than its factorization.

93375540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 93375540 is about 9663.1019864224. The cubic root of 93375540 is about 453.6745064850.

The spelling of 93375540 in words is "ninety-three million, three hundred seventy-five thousand, five hundred forty".