56739648 has 168 divisors, whose sum is σ = 180453792. Its totient is φ = 15676416.

The previous prime is 56739629. The next prime is 56739653. The reversal of 56739648 is 84693765.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 56739597 and 56739606.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 348015 + ... + 348177.

Almost surely, 2^56739648 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 56739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90226896).

56739648 is an abundant number, since it is smaller than the sum of its proper divisors (123714144).

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

56739648 is a wasteful number, since it uses less digits than its factorization.

56739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 56739648 is about 7532.5724689511. The cubic root of 56739648 is about 384.2632743163.

The spelling of 56739648 in words is "fifty-six million, seven hundred thirty-nine thousand, six hundred forty-eight".