90749160 has 160 divisors (see below), whose sum is σ = 313675560. Its totient is φ = 23514624.

The previous prime is 90749159. The next prime is 90749173. The reversal of 90749160 is 6194709.

It can be written as a sum of positive squares in 4 ways, for example, as 87946884 + 2802276 = 9378^2 + 1674^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119502 + ... + 120258.

Almost surely, 2^90749160 is an apocalyptic number.

90749160 is a gapful number since it is divisible by the number (90) 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 90749160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156837780).

90749160 is an abundant number, since it is smaller than the sum of its proper divisors (222926400).

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

90749160 is a wasteful number, since it uses less digits than its factorization.

90749160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90749160 is about 9526.2353529608. The cubic root of 90749160 is about 449.3804808269.

It can be divided in two parts, 90749 and 160, that added together give a palindrome (90909).

The spelling of 90749160 in words is "ninety million, seven hundred forty-nine thousand, one hundred sixty".