56948000 has 96 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 21753600.

The previous prime is 56947999. The next prime is 56948009. The reversal of 56948000 is 84965.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56948009) 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, 91691 + ... + 92309.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^56948000 is an apocalyptic number.

56948000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

56948000 is an abundant number, since it is smaller than the sum of its proper divisors (89292640).

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

56948000 is a wasteful number, since it uses less digits than its factorization.

56948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 56948000 is about 7546.3898653595. The cubic root of 56948000 is about 384.7330470777.

The spelling of 56948000 in words is "fifty-six million, nine hundred forty-eight thousand".