552626064 has 75 divisors (see below), whose sum is σ = 1601913313. Its totient is φ = 183926592.

The previous prime is 552626051. The next prime is 552626069. The reversal of 552626064 is 460626255.

The square root of 552626064 is 23508.

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

It can be written as a sum of positive squares in only one way, i.e., 128595600 + 424030464 = 11340^2 + 20592^2 .

It is a super-2 number, since 2×552626064² = 610791133224264192, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (552626069) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 845962 + ... + 846614.

Almost surely, 2^552626064 is an apocalyptic number.

552626064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

552626064 is the 23508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552626064

552626064 is an abundant number, since it is smaller than the sum of its proper divisors (1049287249).

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

552626064 is an frugal number, since it uses more digits than its factorization.

552626064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 552626064 is about 820.6231947074.

Multiplying 552626064 by its sum of digits (36), we get a square (19894538304 = 141048²).

552626064 divided by its sum of digits (36) gives a square (15350724 = 3918²).

The spelling of 552626064 in words is "five hundred fifty-two million, six hundred twenty-six thousand, sixty-four".