90749568 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 23482368.

The previous prime is 90749563. The next prime is 90749569. The reversal of 90749568 is 86594709.

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 (90749563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712230 + ... + 1712282.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^90749568 is an apocalyptic number.

90749568 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

90749568 is an abundant number, since it is smaller than the sum of its proper divisors (217698432).

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

90749568 is a wasteful number, since it uses less digits than its factorization.

90749568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 90749568 is about 9526.2567674822. The cubic root of 90749568 is about 449.3811542839.

The spelling of 90749568 in words is "ninety million, seven hundred forty-nine thousand, five hundred sixty-eight".