90795936 has 192 divisors, whose sum is σ = 303077376. Its totient is φ = 23116800.

The previous prime is 90795923. The next prime is 90795937. The reversal of 90795936 is 63959709.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (90795937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524746 + ... + 524918.

It is an arithmetic number, because the mean of its divisors is an integer number (1578528).

Almost surely, 2^90795936 is an apocalyptic number.

90795936 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 90795936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151538688).

90795936 is an abundant number, since it is smaller than the sum of its proper divisors (212281440).

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

90795936 is a wasteful number, since it uses less digits than its factorization.

90795936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 90795936 is about 9528.6901513272. The cubic root of 90795936 is about 449.4576775409.

The spelling of 90795936 in words is "ninety million, seven hundred ninety-five thousand, nine hundred thirty-six".