1925909568 has 336 divisors, whose sum is σ = 6367231360. Its totient is φ = 570240000.

The previous prime is 1925909563. The next prime is 1925909569. The reversal of 1925909568 is 8659095291.

It is a super-3 number, since 3×1925909568³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (1925909563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12754293 + ... + 12754443.

Almost surely, 2^1925909568 is an apocalyptic number.

1925909568 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 1925909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183615680).

1925909568 is an abundant number, since it is smaller than the sum of its proper divisors (4441321792).

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

1925909568 is a wasteful number, since it uses less digits than its factorization.

1925909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 1925909568 is about 43885.1862021799. The cubic root of 1925909568 is about 1244.1668631261.

The spelling of 1925909568 in words is "one billion, nine hundred twenty-five million, nine hundred nine thousand, five hundred sixty-eight".