93541536 has 72 divisors (see below), whose sum is σ = 290201184. Its totient is φ = 28344960.

The previous prime is 93541523. The next prime is 93541573. The reversal of 93541536 is 63514539.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 93541536.

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 11 ways as a sum of consecutive naturals, for example, 11596 + ... + 17931.

It is an arithmetic number, because the mean of its divisors is an integer number (4030572).

Almost surely, 2^93541536 is an apocalyptic number.

93541536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93541536 is an abundant number, since it is smaller than the sum of its proper divisors (196659648).

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

93541536 is a wasteful number, since it uses less digits than its factorization.

93541536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29554 (or 29543 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 93541536 is about 9671.6873398596. The cubic root of 93541536 is about 453.9431834557.

The spelling of 93541536 in words is "ninety-three million, five hundred forty-one thousand, five hundred thirty-six".