93253680 has 320 divisors, whose sum is σ = 358727040. Its totient is φ = 22394880.

The previous prime is 93253669. The next prime is 93253703. The reversal of 93253680 is 8635239.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2274460 + ... + 2274500.

It is an arithmetic number, because the mean of its divisors is an integer number (1121022).

Almost surely, 2^93253680 is an apocalyptic number.

93253680 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 93253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179363520).

93253680 is an abundant number, since it is smaller than the sum of its proper divisors (265473360).

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

93253680 is a wasteful number, since it uses less digits than its factorization.

93253680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 93253680 is about 9656.7944992114. The cubic root of 93253680 is about 453.4770641903.

The spelling of 93253680 in words is "ninety-three million, two hundred fifty-three thousand, six hundred eighty".