806054832 has 120 divisors (see below), whose sum is σ = 2490965568. Its totient is φ = 241276800.

The previous prime is 806054827. The next prime is 806054833. The reversal of 806054832 is 238450608.

806054832 is a `hidden beast` number, since 8 + 0 + 605 + 48 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806054833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128407 + ... + 134537.

Almost surely, 2^806054832 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 806054832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245482784).

806054832 is an abundant number, since it is smaller than the sum of its proper divisors (1684910736).

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

806054832 is a wasteful number, since it uses less digits than its factorization.

806054832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 806054832 is about 28391.1048041460. The cubic root of 806054832 is about 930.6538863096.

The spelling of 806054832 in words is "eight hundred six million, fifty-four thousand, eight hundred thirty-two".