890809920 has 896 divisors, whose sum is σ = 4260372480. Its totient is φ = 169205760.

The previous prime is 890809873. The next prime is 890809921. The reversal of 890809920 is 29908098.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (890809921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648589 + ... + 8648691.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^890809920 is an apocalyptic number.

890809920 is a gapful number since it is divisible by the number (80) 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 890809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130186240).

890809920 is an abundant number, since it is smaller than the sum of its proper divisors (3369562560).

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

890809920 is a wasteful number, since it uses less digits than its factorization.

890809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 890809920 is about 29846.4389835706. The cubic root of 890809920 is about 962.1918667332.

The spelling of 890809920 in words is "eight hundred ninety million, eight hundred nine thousand, nine hundred twenty".