909090000 has 800 divisors, whose sum is σ = 4121680640. Its totient is φ = 186624000.

The previous prime is 909089983. The next prime is 909090031. The reversal of 909090000 is 90909.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24569982 + ... + 24570018.

Almost surely, 2^909090000 is an apocalyptic number.

909090000 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 909090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060840320).

909090000 is an abundant number, since it is smaller than the sum of its proper divisors (3212590640).

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

909090000 is a wasteful number, since it uses less digits than its factorization.

909090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 909090000 is about 30151.1193822054. The cubic root of 909090000 is about 968.7289832416.

Multiplying 909090000 by its reverse (90909), we get a square (82644462810000 = 9090900²).

909090000 divided by its reverse (90909) gives a 4-th power (10000 = 10⁴).

The spelling of 909090000 in words is "nine hundred nine million, ninety thousand".