90758976 has 168 divisors, whose sum is σ = 305080416. Its totient is φ = 23546880.

The previous prime is 90758963. The next prime is 90758977. The reversal of 90758976 is 67985709.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90758977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 103050 + ... + 103926.

Almost surely, 2^90758976 is an apocalyptic number.

90758976 is a gapful number since it is divisible by the number (96) 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 90758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152540208).

90758976 is an abundant number, since it is smaller than the sum of its proper divisors (214321440).

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

90758976 is a wasteful number, since it uses less digits than its factorization.

90758976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 90758976 is about 9526.7505477996. The cubic root of 90758976 is about 449.3966828493.

The spelling of 90758976 in words is "ninety million, seven hundred fifty-eight thousand, nine hundred seventy-six".