551368000 has 112 divisors (see below), whose sum is σ = 1399598928. Its totient is φ = 215168000.

The previous prime is 551367979. The next prime is 551368007. The reversal of 551368000 is 863155.

The cubic root of 551368000 is 820.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 8 ways, for example, as 511121664 + 40246336 = 22608^2 + 6344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 551368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551368007) 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, 13447980 + ... + 13448020.

It is an arithmetic number, because the mean of its divisors is an integer number (12496419).

Almost surely, 2^551368000 is an apocalyptic number.

551368000 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 551368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699799464).

551368000 is an abundant number, since it is smaller than the sum of its proper divisors (848230928).

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

551368000 is an frugal number, since it uses more digits than its factorization.

551368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 551368000 is about 23481.2265437732.

It can be divided in two parts, 55136 and 8000, that added together give a palindrome (63136).

The spelling of 551368000 in words is "five hundred fifty-one million, three hundred sixty-eight thousand".