93288960 has 120 divisors (see below), whose sum is σ = 323165700. Its totient is φ = 24870912.

The previous prime is 93288941. The next prime is 93288961. The reversal of 93288960 is 6988239.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 3873024 = 9456^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (93288961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21016 + ... + 25064.

Almost surely, 2^93288960 is an apocalyptic number.

93288960 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 93288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161582850).

93288960 is an abundant number, since it is smaller than the sum of its proper divisors (229876740).

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

93288960 is a wasteful number, since it uses less digits than its factorization.

93288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 93288960 is about 9658.6210195866. The cubic root of 93288960 is about 453.5342438952.

The spelling of 93288960 in words is "ninety-three million, two hundred eighty-eight thousand, nine hundred sixty".