890496 has 48 divisors (see below), whose sum is σ = 2565810. Its totient is φ = 296448.

The previous prime is 890467. The next prime is 890501. The reversal of 890496 is 694098.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 14400 = 936^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 890496.

It is an unprimeable number.

890496 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 5 ways as a sum of consecutive naturals, for example, 766 + ... + 1538.

2⁸⁹⁰⁴⁹⁶ 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 890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282905).

890496 is an abundant number, since it is smaller than the sum of its proper divisors (1675314).

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

890496 is a wasteful number, since it uses less digits than its factorization.

890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 890496 is about 943.6609560642. The cubic root of 890496 is about 96.2078828492.

The spelling of 890496 in words is "eight hundred ninety thousand, four hundred ninety-six".