890800920 has 96 divisors (see below), whose sum is σ = 2901618720. Its totient is φ = 237012480.

The previous prime is 890800871. The next prime is 890800927. The reversal of 890800920 is 29008098.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890800927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172780 + ... + 177860.

It is an arithmetic number, because the mean of its divisors is an integer number (30225195).

Almost surely, 2^890800920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890800920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450809360).

890800920 is an abundant number, since it is smaller than the sum of its proper divisors (2010817800).

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

890800920 is a wasteful number, since it uses less digits than its factorization.

890800920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5578 counting only the distinct ones).

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

The square root of 890800920 is about 29846.2882114343. The cubic root of 890800920 is about 962.1886263277.

The spelling of 890800920 in words is "eight hundred ninety million, eight hundred thousand, nine hundred twenty".