553768000 has 56 divisors (see below), whose sum is σ = 1371426264. Its totient is φ = 221504000.

The previous prime is 553767961. The next prime is 553768001. The reversal of 553768000 is 867355.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34292736 + 519475264 = 5856^2 + 22792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553768001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26611 + ... + 42610.

Almost surely, 2^553768000 is an apocalyptic number.

553768000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

553768000 is an abundant number, since it is smaller than the sum of its proper divisors (817658264).

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

553768000 is an equidigital number, since it uses as much as digits as its factorization.

553768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69248 (or 69228 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 553768000 is about 23532.2757080568. The cubic root of 553768000 is about 821.1880458798.

It can be divided in two parts, 5537 and 68000, that added together give a palindrome (73537).

The spelling of 553768000 in words is "five hundred fifty-three million, seven hundred sixty-eight thousand".