811152 has 60 divisors (see below), whose sum is σ = 2340624. Its totient is φ = 262080.

The previous prime is 811147. The next prime is 811157. The reversal of 811152 is 251118.

811152 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (811147) and next prime (811157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 811152.

It is not an unprimeable number, because it can be changed into a prime (811157) by changing a digit.

811152 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 11 ways as a sum of consecutive naturals, for example, 6127 + ... + 6257.

2⁸¹¹¹⁵² 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 811152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170312).

811152 is an abundant number, since it is smaller than the sum of its proper divisors (1529472).

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

811152 is a wasteful number, since it uses less digits than its factorization.

811152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 811152 is about 900.6397726061. The cubic root of 811152 is about 93.2611459962.

The spelling of 811152 in words is "eight hundred eleven thousand, one hundred fifty-two".