93130080 has 192 divisors, whose sum is σ = 316467648. Its totient is φ = 22937600.

The previous prime is 93130069. The next prime is 93130091. The reversal of 93130080 is 8003139.

It is an interprime number because it is at equal distance from previous prime (93130069) and next prime (93130091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 93130080.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 824104 + ... + 824216.

It is an arithmetic number, because the mean of its divisors is an integer number (1648269).

Almost surely, 2^93130080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158233824).

93130080 is an abundant number, since it is smaller than the sum of its proper divisors (223337568).

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

93130080 is a wasteful number, since it uses less digits than its factorization.

93130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 93130080 is about 9650.3927381221. The cubic root of 93130080 is about 453.2766268939.

The spelling of 93130080 in words is "ninety-three million, one hundred thirty thousand, eighty".