56877648 has 80 divisors (see below), whose sum is σ = 159293376. Its totient is φ = 17418240.

The previous prime is 56877647. The next prime is 56877649. The reversal of 56877648 is 84677865.

It is an interprime number because it is at equal distance from previous prime (56877647) and next prime (56877649).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 56877648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56877641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34278 + ... + 35898.

Almost surely, 2^56877648 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 56877648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79646688).

56877648 is an abundant number, since it is smaller than the sum of its proper divisors (102415728).

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

56877648 is a wasteful number, since it uses less digits than its factorization.

56877648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1686 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 56877648 is about 7541.7271231463. The cubic root of 56877648 is about 384.5745522355.

The spelling of 56877648 in words is "fifty-six million, eight hundred seventy-seven thousand, six hundred forty-eight".