56896 has 28 divisors (see below), whose sum is σ = 130048. Its totient is φ = 24192.

The previous prime is 56893. The next prime is 56897. The reversal of 56896 is 69865.

It is a tau number, because it is divible by the number of its divisors (28).

56896 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385 + ... + 511.

2⁵⁶⁸⁹⁶ is an apocalyptic number.

56896 is a gapful number since it is divisible by the number (56) 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 56896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65024).

56896 is an abundant number, since it is smaller than the sum of its proper divisors (73152).

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

56896 is a wasteful number, since it uses less digits than its factorization.

56896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 56896 is about 238.5288242540. The cubic root of 56896 is about 38.4615909743.

It can be divided in two parts, 56 and 896, that multiplied together give a square (50176 = 224²).

The spelling of 56896 in words is "fifty-six thousand, eight hundred ninety-six".