90893568 has 72 divisors (see below), whose sum is σ = 254682400. Its totient is φ = 28698624.

The previous prime is 90893567. The next prime is 90893623. The reversal of 90893568 is 86539809.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90893563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11478 + ... + 17706.

Almost surely, 2^90893568 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 90893568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127341200).

90893568 is an abundant number, since it is smaller than the sum of its proper divisors (163788832).

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

90893568 is a wasteful number, since it uses less digits than its factorization.

90893568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 90893568 is about 9533.8118294835. The cubic root of 90893568 is about 449.6187190106.

The spelling of 90893568 in words is "ninety million, eight hundred ninety-three thousand, five hundred sixty-eight".