93381504 has 64 divisors (see below), whose sum is σ = 261120000. Its totient is φ = 29486592.

The previous prime is 93381481. The next prime is 93381511. The reversal of 93381504 is 40518339.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 897 + ... + 13695.

It is an arithmetic number, because the mean of its divisors is an integer number (4080000).

Almost surely, 2^93381504 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 93381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130560000).

93381504 is an abundant number, since it is smaller than the sum of its proper divisors (167738496).

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

93381504 is a wasteful number, since it uses less digits than its factorization.

93381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 93381504 is about 9663.4105780516. The cubic root of 93381504 is about 453.6841651785.

The spelling of 93381504 in words is "ninety-three million, three hundred eighty-one thousand, five hundred four".