93488064 has 112 divisors (see below), whose sum is σ = 259445760. Its totient is φ = 29675520.

The previous prime is 93488041. The next prime is 93488069. The reversal of 93488064 is 46088439.

93488064 = T₂₇₇ + T₂₇₈ + ... + T₈₃₄.

It is a super-2 number, since 2×93488064² = 17480036220936192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93488069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672507 + ... + 672645.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2^93488064 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 93488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

93488064 is an abundant number, since it is smaller than the sum of its proper divisors (165957696).

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

93488064 is a wasteful number, since it uses less digits than its factorization.

93488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 93488064 is about 9668.9225873414. The cubic root of 93488064 is about 453.8566697436.

The spelling of 93488064 in words is "ninety-three million, four hundred eighty-eight thousand, sixty-four".