811888 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 315840.

The previous prime is 811879. The next prime is 811897. The reversal of 811888 is 888118.

It is an interprime number because it is at equal distance from previous prime (811879) and next prime (811897).

It is a nude number because it is divisible by every one of its digits.

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, 903 + ... + 1561.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁸¹¹⁸⁸⁸ is an apocalyptic number.

811888 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

811888 is an abundant number, since it is smaller than the sum of its proper divisors (1152272).

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

811888 is a wasteful number, since it uses less digits than its factorization.

811888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its digits is 4096, while the sum is 34.

The square root of 811888 is about 901.0482783958. The cubic root of 811888 is about 93.2893443502.

The spelling of 811888 in words is "eight hundred eleven thousand, eight hundred eighty-eight".