56765676 has 96 divisors (see below), whose sum is σ = 150974208. Its totient is φ = 16450560.

The previous prime is 56765651. The next prime is 56765677. The reversal of 56765676 is 67656765.

56765676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

56765676 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (56765677) 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 31 ways as a sum of consecutive naturals, for example, 414280 + ... + 414416.

It is an arithmetic number, because the mean of its divisors is an integer number (1572648).

Almost surely, 2^56765676 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 56765676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75487104).

56765676 is an abundant number, since it is smaller than the sum of its proper divisors (94208532).

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

56765676 is a wasteful number, since it uses less digits than its factorization.

56765676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The square root of 56765676 is about 7534.2999674820. The cubic root of 56765676 is about 384.3220226279.

It can be divided in two parts, 5 and 6765676, that added together give a triangular number (6765681 = T₃₆₇₈).

The spelling of 56765676 in words is "fifty-six million, seven hundred sixty-five thousand, six hundred seventy-six".