552636000 has 768 divisors, whose sum is σ = 2490808320. Its totient is φ = 116121600.

The previous prime is 552635999. The next prime is 552636031. The reversal of 552636000 is 636255.

552636000 is a `hidden beast` number, since 5 + 52 + 6 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12851979 + ... + 12852021.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^552636000 is an apocalyptic number.

552636000 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 552636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

552636000 is an abundant number, since it is smaller than the sum of its proper divisors (1938172320).

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

552636000 is a wasteful number, since it uses less digits than its factorization.

552636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 552636000 is about 23508.2113313625. The cubic root of 552636000 is about 820.6281128390.

The spelling of 552636000 in words is "five hundred fifty-two million, six hundred thirty-six thousand".