90900870 has 64 divisors (see below), whose sum is σ = 232860096. Its totient is φ = 22630400.

The previous prime is 90900847. The next prime is 90900881. The reversal of 90900870 is 7800909.

It is a super-3 number, since 3×90900870³ (a number of 25 digits) contains 333 as substring.

It is a congruent 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, 69220 + ... + 70520.

It is an arithmetic number, because the mean of its divisors is an integer number (3638439).

Almost surely, 2^90900870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90900870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116430048).

90900870 is an abundant number, since it is smaller than the sum of its proper divisors (141959226).

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

90900870 is a wasteful number, since it uses less digits than its factorization.

90900870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 90900870 is about 9534.1947745995. The cubic root of 90900870 is about 449.6307588356.

The spelling of 90900870 in words is "ninety million, nine hundred thousand, eight hundred seventy".