93248640 has 96 divisors (see below), whose sum is σ = 322019100. Its totient is φ = 24864768.

The previous prime is 93248633. The next prime is 93248653. The reversal of 93248640 is 4684239.

It is a happy number.

93248640 is a `hidden beast` number, since 9 + 3 + 2 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 627264 = 9624^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 93248595 and 93248604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2335 + ... + 13854.

Almost surely, 2^93248640 is an apocalyptic number.

93248640 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 93248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161009550).

93248640 is an abundant number, since it is smaller than the sum of its proper divisors (228770460).

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

93248640 is a wasteful number, since it uses less digits than its factorization.

93248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16214 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 93248640 is about 9656.5335395265. The cubic root of 93248640 is about 453.4688944838.

The spelling of 93248640 in words is "ninety-three million, two hundred forty-eight thousand, six hundred forty".