90233568 has 96 divisors (see below), whose sum is σ = 265093920. Its totient is φ = 29859840.

The previous prime is 90233567. The next prime is 90233593. The reversal of 90233568 is 86533209.

90233568 is a `hidden beast` number, since 90 + 2 + 3 + 3 + 568 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90233567) 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, 156096 + ... + 156672.

It is an arithmetic number, because the mean of its divisors is an integer number (2761395).

Almost surely, 2^90233568 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 90233568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132546960).

90233568 is an abundant number, since it is smaller than the sum of its proper divisors (174860352).

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

90233568 is a wasteful number, since it uses less digits than its factorization.

90233568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 90233568 is about 9499.1351185253. The cubic root of 90233568 is about 448.5278111634.

The spelling of 90233568 in words is "ninety million, two hundred thirty-three thousand, five hundred sixty-eight".