90906570 has 64 divisors (see below), whose sum is σ = 250260480. Its totient is φ = 23457600.

The previous prime is 90906559. The next prime is 90906587. The reversal of 90906570 is 7560909.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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, 2940 + ... + 13800.

It is an arithmetic number, because the mean of its divisors is an integer number (3910320).

Almost surely, 2^90906570 is an apocalyptic number.

90906570 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90906570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125130240).

90906570 is an abundant number, since it is smaller than the sum of its proper divisors (159353910).

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

90906570 is a wasteful number, since it uses less digits than its factorization.

90906570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908 (or 10902 counting only the distinct ones).

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

The square root of 90906570 is about 9534.4936939515. The cubic root of 90906570 is about 449.6401567719.

The spelling of 90906570 in words is "ninety million, nine hundred six thousand, five hundred seventy".