90957060 has 96 divisors (see below), whose sum is σ = 284860800. Its totient is φ = 24094080.

The previous prime is 90957059. The next prime is 90957187. The reversal of 90957060 is 6075909.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 96190 + ... + 97130.

It is an arithmetic number, because the mean of its divisors is an integer number (2967300).

Almost surely, 2^90957060 is an apocalyptic number.

90957060 is a gapful number since it is divisible by the number (90) 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 90957060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142430400).

90957060 is an abundant number, since it is smaller than the sum of its proper divisors (193903740).

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

90957060 is a wasteful number, since it uses less digits than its factorization.

90957060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 90957060 is about 9537.1410810578. The cubic root of 90957060 is about 449.7233855558.

The spelling of 90957060 in words is "ninety million, nine hundred fifty-seven thousand, sixty".