90635776 has 160 divisors (see below), whose sum is σ = 239627520. Its totient is φ = 33454080.

The previous prime is 90635773. The next prime is 90635819. The reversal of 90635776 is 67753609.

It is a super-2 number, since 2×90635776² = 16429687782244352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90635773) 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 15 ways as a sum of consecutive naturals, for example, 4770295 + ... + 4770313.

It is an arithmetic number, because the mean of its divisors is an integer number (1497672).

Almost surely, 2^90635776 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 90635776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119813760).

90635776 is an abundant number, since it is smaller than the sum of its proper divisors (148991744).

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

90635776 is an equidigital number, since it uses as much as digits as its factorization.

90635776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The square root of 90635776 is about 9520.2823487542. The cubic root of 90635776 is about 449.1932475361.

The spelling of 90635776 in words is "ninety million, six hundred thirty-five thousand, seven hundred seventy-six".