93142368 has 72 divisors (see below), whose sum is σ = 288962856. Its totient is φ = 28224000.

The previous prime is 93142367. The next prime is 93142381. The reversal of 93142368 is 86324139.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93142367) 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 11 ways as a sum of consecutive naturals, for example, 11533 + ... + 17868.

It is an arithmetic number, because the mean of its divisors is an integer number (4013373).

Almost surely, 2^93142368 is an apocalyptic number.

It is an amenable number.

93142368 is an abundant number, since it is smaller than the sum of its proper divisors (195820488).

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

93142368 is a wasteful number, since it uses less digits than its factorization.

93142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29428 (or 29417 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 93142368 is about 9651.0293751496. The cubic root of 93142368 is about 453.2965618002.

The spelling of 93142368 in words is "ninety-three million, one hundred forty-two thousand, three hundred sixty-eight".