890560000 has 300 divisors, whose sum is σ = 2550289896. Its totient is φ = 309760000.

The previous prime is 890559947. The next prime is 890560003. The reversal of 890560000 is 65098.

It is a super-2 number, since 2×890560000² = 1586194227200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890560003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38719989 + ... + 38720011.

Almost surely, 2^890560000 is an apocalyptic number.

890560000 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 890560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275144948).

890560000 is an abundant number, since it is smaller than the sum of its proper divisors (1659729896).

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

890560000 is an equidigital number, since it uses as much as digits as its factorization.

890560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 890560000 is about 29842.2519257512. The cubic root of 890560000 is about 962.1018761610.

The spelling of 890560000 in words is "eight hundred ninety million, five hundred sixty thousand".