890160 has 40 divisors (see below), whose sum is σ = 2760240. Its totient is φ = 237312.

The previous prime is 890159. The next prime is 890161. The reversal of 890160 is 61098.

It is an interprime number because it is at equal distance from previous prime (890159) and next prime (890161).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 890160.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 890160.

It is not an unprimeable number, because it can be changed into a prime (890161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615 + ... + 2094.

It is an arithmetic number, because the mean of its divisors is an integer number (69006).

2⁸⁹⁰¹⁶⁰ is an apocalyptic number.

890160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

890160 is an abundant number, since it is smaller than the sum of its proper divisors (1870080).

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

890160 is a wasteful number, since it uses less digits than its factorization.

890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 890160 is about 943.4829092252. The cubic root of 890160 is about 96.1957810112.

The spelling of 890160 in words is "eight hundred ninety thousand, one hundred sixty".