56761380 has 144 divisors (see below), whose sum is σ = 187858944. Its totient is φ = 13789440.

The previous prime is 56761361. The next prime is 56761399. The reversal of 56761380 is 8316765.

56761380 is a `hidden beast` number, since 567 + 6 + 13 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (56761361) and next prime (56761399).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297085 + ... + 297275.

It is an arithmetic number, because the mean of its divisors is an integer number (1304576).

Almost surely, 2^56761380 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 56761380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472).

56761380 is an abundant number, since it is smaller than the sum of its proper divisors (131097564).

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

56761380 is a wasteful number, since it uses less digits than its factorization.

56761380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56761380 is about 7534.0148659264. The cubic root of 56761380 is about 384.3123272792.

It can be divided in two parts, 5676 and 1380, that added together give a square (7056 = 84²).

The spelling of 56761380 in words is "fifty-six million, seven hundred sixty-one thousand, three hundred eighty".