93545968 has 80 divisors (see below), whose sum is σ = 211057920. Its totient is φ = 39840768.

The previous prime is 93545957. The next prime is 93545971. The reversal of 93545968 is 86954539.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118471 + ... + 119257.

It is an arithmetic number, because the mean of its divisors is an integer number (2638224).

Almost surely, 2^93545968 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 93545968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105528960).

93545968 is an abundant number, since it is smaller than the sum of its proper divisors (117511952).

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

93545968 is a wasteful number, since it uses less digits than its factorization.

93545968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The square root of 93545968 is about 9671.9164595234. The cubic root of 93545968 is about 453.9503526218.

The spelling of 93545968 in words is "ninety-three million, five hundred forty-five thousand, nine hundred sixty-eight".