553968 has 30 divisors (see below), whose sum is σ = 1550744. Its totient is φ = 184608.

The previous prime is 553963. The next prime is 553981. The reversal of 553968 is 869355.

553968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 553968.

It is not an unprimeable number, because it can be changed into a prime (553961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1780 + ... + 2067.

2⁵⁵³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

553968 is an abundant number, since it is smaller than the sum of its proper divisors (996776).

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

553968 is a wasteful number, since it uses less digits than its factorization.

553968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3852 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 553968 is about 744.2902659581. The cubic root of 553968 is about 82.1286894640.

It can be divided in two parts, 553 and 968, that added together give a square (1521 = 39²).

The spelling of 553968 in words is "five hundred fifty-three thousand, nine hundred sixty-eight".