920889000 has 160 divisors (see below), whose sum is σ = 3219301800. Its totient is φ = 245548800.

The previous prime is 920888959. The next prime is 920889023. The reversal of 920889000 is 988029.

It can be written as a sum of positive squares in 4 ways, for example, as 302968836 + 617920164 = 17406^2 + 24858^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75316 + ... + 86684.

Almost surely, 2^920889000 is an apocalyptic number.

920889000 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 920889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609650900).

920889000 is an abundant number, since it is smaller than the sum of its proper divisors (2298412800).

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

920889000 is a wasteful number, since it uses less digits than its factorization.

920889000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 920889000 is about 30346.1529687043. The cubic root of 920889000 is about 972.9019976380.

The spelling of 920889000 in words is "nine hundred twenty million, eight hundred eighty-nine thousand".