90755520 has 224 divisors, whose sum is σ = 313383168. Its totient is φ = 22167552.

The previous prime is 90755519. The next prime is 90755549. The reversal of 90755520 is 2555709.

It is a congruent number.

It is an unprimeable number.

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, 1093399 + ... + 1093481.

It is an arithmetic number, because the mean of its divisors is an integer number (1399032).

Almost surely, 2^90755520 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 90755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156691584).

90755520 is an abundant number, since it is smaller than the sum of its proper divisors (222627648).

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

90755520 is a wasteful number, since it uses less digits than its factorization.

90755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 90755520 is about 9526.5691620856. The cubic root of 90755520 is about 449.3909786031.

The spelling of 90755520 in words is "ninety million, seven hundred fifty-five thousand, five hundred twenty".