893152 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 387072.

The previous prime is 893149. The next prime is 893161. The reversal of 893152 is 251398.

It is a self number, because there is not a number n which added to its sum of digits gives 893152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7848 + ... + 7960.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁸⁹³¹⁵² 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 893152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

893152 is an abundant number, since it is smaller than the sum of its proper divisors (1117808).

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

893152 is a wasteful number, since it uses less digits than its factorization.

893152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 893152 is about 945.0671933783. The cubic root of 893152 is about 96.3034380268.

The spelling of 893152 in words is "eight hundred ninety-three thousand, one hundred fifty-two".