56761100 has 54 divisors (see below), whose sum is σ = 135415812. Its totient is φ = 20636000.

The previous prime is 56761099. The next prime is 56761109. The reversal of 56761100 is 116765.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 56761100.

It is not an unprimeable number, because it can be changed into a prime (56761109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9755 + ... + 14445.

Almost surely, 2^56761100 is an apocalyptic number.

56761100 is a gapful number since it is divisible by the number (50) 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 56761100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67707906).

56761100 is an abundant number, since it is smaller than the sum of its proper divisors (78654712).

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

56761100 is a wasteful number, since it uses less digits than its factorization.

56761100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 56761100 is about 7533.9962835138. The cubic root of 56761100 is about 384.3116953494.

Adding to 56761100 its reverse (116765), we get a palindrome (56877865).

It can be divided in two parts, 5676 and 1100, that added together give a palindrome (6776).

The spelling of 56761100 in words is "fifty-six million, seven hundred sixty-one thousand, one hundred".