811161432 has 128 divisors (see below), whose sum is σ = 2299968000. Its totient is φ = 264850560.

The previous prime is 811161361. The next prime is 811161451. The reversal of 811161432 is 234161118.

It is a happy number.

811161432 is a `hidden beast` number, since 8 + 1 + 11 + 614 + 32 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 811161396 and 811161405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3084133 + ... + 3084395.

It is an arithmetic number, because the mean of its divisors is an integer number (17968500).

Almost surely, 2^811161432 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 811161432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149984000).

811161432 is an abundant number, since it is smaller than the sum of its proper divisors (1488806568).

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

811161432 is a wasteful number, since it uses less digits than its factorization.

811161432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 811161432 is about 28480.8959128747. The cubic root of 811161432 is about 932.6150747209.

The spelling of 811161432 in words is "eight hundred eleven million, one hundred sixty-one thousand, four hundred thirty-two".