1625868288 has 324 divisors, whose sum is σ = 5359753035. Its totient is φ = 492687360.

The previous prime is 1625868259. The next prime is 1625868289. The reversal of 1625868288 is 8828685261.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1625868288 is a `hidden beast` number, since 1 + 625 + 8 + 6 + 8 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 812934144 + 812934144 = 28512^2 + 28512^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=28512.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2949120) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (1625868289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147806203 + ... + 147806213.

Almost surely, 2^1625868288 is an apocalyptic number.

1625868288 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 1625868288

1625868288 is an abundant number, since it is smaller than the sum of its proper divisors (3733884747).

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

1625868288 is an frugal number, since it uses more digits than its factorization.

1625868288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 16 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 1625868288 is about 40322.0570903817. The cubic root of 1625868288 is about 1175.8767051080.

The spelling of 1625868288 in words is "one billion, six hundred twenty-five million, eight hundred sixty-eight thousand, two hundred eighty-eight".