1552906368 has 192 divisors, whose sum is σ = 4866552600. Its totient is φ = 472449024.

The previous prime is 1552906363. The next prime is 1552906403. The reversal of 1552906368 is 8636092551.

1552906368 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 9 + 0 + 636 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1014295104 + 538611264 = 31848^2 + 23208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1552906363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452138 + ... + 1453206.

Almost surely, 2^1552906368 is an apocalyptic number.

1552906368 is a gapful number since it is divisible by the number (18) 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 1552906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433276300).

1552906368 is an abundant number, since it is smaller than the sum of its proper divisors (3313646232).

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

1552906368 is a wasteful number, since it uses less digits than its factorization.

1552906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1552906368 is about 39406.9329940811. The cubic root of 1552906368 is about 1158.0174140759.

The spelling of 1552906368 in words is "one billion, five hundred fifty-two million, nine hundred six thousand, three hundred sixty-eight".