93732480 has 96 divisors (see below), whose sum is σ = 323689860. Its totient is φ = 24993792.

The previous prime is 93732467. The next prime is 93732493. The reversal of 93732480 is 8423739.

It is an interprime number because it is at equal distance from previous prime (93732467) and next prime (93732493).

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 4769856 = 9432^2 + 2184^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377 + ... + 13896.

Almost surely, 2^93732480 is an apocalyptic number.

93732480 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 93732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161844930).

93732480 is an abundant number, since it is smaller than the sum of its proper divisors (229957380).

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

93732480 is a wasteful number, since it uses less digits than its factorization.

93732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16298 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 93732480 is about 9681.5535943360. The cubic root of 93732480 is about 454.2518478203.

The spelling of 93732480 in words is "ninety-three million, seven hundred thirty-two thousand, four hundred eighty".