56006832 has 160 divisors (see below), whose sum is σ = 180305920. Its totient is φ = 14618880.

The previous prime is 56006831. The next prime is 56006879. The reversal of 56006832 is 23860065.

It is a self number, because there is not a number n which added to its sum of digits gives 56006832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56006831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197763 + ... + 198045.

It is an arithmetic number, because the mean of its divisors is an integer number (1126912).

Almost surely, 2^56006832 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 56006832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90152960).

56006832 is an abundant number, since it is smaller than the sum of its proper divisors (124299088).

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

56006832 is a wasteful number, since it uses less digits than its factorization.

56006832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 56006832 is about 7483.7712418272. The cubic root of 56006832 is about 382.6017944288.

Adding to 56006832 its reverse (23860065), we get a palindrome (79866897).

The spelling of 56006832 in words is "fifty-six million, six thousand, eight hundred thirty-two".