890560 has 84 divisors (see below), whose sum is σ = 2432304. Its totient is φ = 309760.

The previous prime is 890551. The next prime is 890563. The reversal of 890560 is 65098.

890560 = 148² + 149² + ... + 180².

890560 = 12³ + 13³ + ... + 43³.

It is a super-2 number, since 2×890560² = 1586194227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (890563) by changing a digit.

890560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38709 + ... + 38731.

It is an arithmetic number, because the mean of its divisors is an integer number (28956).

2⁸⁹⁰⁵⁶⁰ is an apocalyptic number.

890560 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 890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216152).

890560 is an abundant number, since it is smaller than the sum of its proper divisors (1541744).

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

890560 is a wasteful number, since it uses less digits than its factorization.

890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

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

The square root of 890560 is about 943.6948659392. The cubic root of 890560 is about 96.2101876161.

The spelling of 890560 in words is "eight hundred ninety thousand, five hundred sixty".