890664 has 64 divisors (see below), whose sum is σ = 2462400. Its totient is φ = 267264.

The previous prime is 890657. The next prime is 890671. The reversal of 890664 is 466098.

890664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (890657) and next prime (890671).

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 890664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15067 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2⁸⁹⁰⁶⁶⁴ 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 890664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231200).

890664 is an abundant number, since it is smaller than the sum of its proper divisors (1571736).

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

890664 is a wasteful number, since it uses less digits than its factorization.

890664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 890664 is about 943.7499668874. The cubic root of 890664 is about 96.2139326267.

The spelling of 890664 in words is "eight hundred ninety thousand, six hundred sixty-four".