890764 has 24 divisors (see below), whose sum is σ = 1844640. Its totient is φ = 368256.

The previous prime is 890761. The next prime is 890789. The reversal of 890764 is 467098.

It is not an unprimeable number, because it can be changed into a prime (890761) 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 7 ways as a sum of consecutive naturals, for example, 264 + ... + 1360.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

2⁸⁹⁰⁷⁶⁴ 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 890764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922320).

890764 is an abundant number, since it is smaller than the sum of its proper divisors (953876).

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

890764 is a wasteful number, since it uses less digits than its factorization.

890764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 890764 is about 943.8029455347. The cubic root of 890764 is about 96.2175333236.

The spelling of 890764 in words is "eight hundred ninety thousand, seven hundred sixty-four".