56766420 has 120 divisors (see below), whose sum is σ = 181081824. Its totient is φ = 14883264.

The previous prime is 56766419. The next prime is 56766421. The reversal of 56766420 is 2466765.

56766420 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56766419) and next prime (56766421).

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 (56766421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108279 + ... + 108801.

Almost surely, 2^56766420 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 56766420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90540912).

56766420 is an abundant number, since it is smaller than the sum of its proper divisors (124315404).

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

56766420 is a wasteful number, since it uses less digits than its factorization.

56766420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56766420 is about 7534.3493415158. The cubic root of 56766420 is about 384.3237016609.

The spelling of 56766420 in words is "fifty-six million, seven hundred sixty-six thousand, four hundred twenty".