890352 has 60 divisors (see below), whose sum is σ = 2595320. Its totient is φ = 295488.

The previous prime is 890333. The next prime is 890371. The reversal of 890352 is 253098.

It is an interprime number because it is at equal distance from previous prime (890333) and next prime (890371).

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

It is a congruent number.

It is an unprimeable number.

890352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 3774 + ... + 4002.

2⁸⁹⁰³⁵² 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 890352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297660).

890352 is an abundant number, since it is smaller than the sum of its proper divisors (1704968).

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

890352 is a wasteful number, since it uses less digits than its factorization.

890352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 890352 is about 943.5846543898. The cubic root of 890352 is about 96.2026967200.

The spelling of 890352 in words is "eight hundred ninety thousand, three hundred fifty-two".