890460 has 96 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 221184.

The previous prime is 890459. The next prime is 890467. The reversal of 890460 is 64098.

890460 = T₄₁₇ + T₄₁₈ + ... + T₄₂₆.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 890460.

It is not an unprimeable number, because it can be changed into a prime (890467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9132 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2⁸⁹⁰⁴⁶⁰ 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 890460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

890460 is an abundant number, since it is smaller than the sum of its proper divisors (2073060).

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

890460 is a wasteful number, since it uses less digits than its factorization.

890460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 890460 is about 943.6418812240. The cubic root of 890460 is about 96.2065863694.

The spelling of 890460 in words is "eight hundred ninety thousand, four hundred sixty".