90957090 has 64 divisors (see below), whose sum is σ = 251755776. Its totient is φ = 20600832.

The previous prime is 90957059. The next prime is 90957187. The reversal of 90957090 is 9075909.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21814 + ... + 25646.

It is an arithmetic number, because the mean of its divisors is an integer number (3933684).

Almost surely, 2^90957090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90957090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125877888).

90957090 is an abundant number, since it is smaller than the sum of its proper divisors (160798686).

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

90957090 is a wasteful number, since it uses less digits than its factorization.

90957090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963.

The product of its (nonzero) digits is 25515, while the sum is 39.

The square root of 90957090 is about 9537.1426538560. The cubic root of 90957090 is about 449.7234349993.

The spelling of 90957090 in words is "ninety million, nine hundred fifty-seven thousand, ninety".