1925187264 has 840 divisors, whose sum is σ = 7946337168. Its totient is φ = 452874240.

The previous prime is 1925187263. The next prime is 1925187281. The reversal of 1925187264 is 4627815291.

1925187264 is a `hidden beast` number, since 1 + 9 + 2 + 518 + 72 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925187263) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36324262 + ... + 36324314.

Almost surely, 2^1925187264 is an apocalyptic number.

1925187264 is a gapful number since it is divisible by the number (14) 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 1925187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973168584).

1925187264 is an abundant number, since it is smaller than the sum of its proper divisors (6021149904).

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

1925187264 is a wasteful number, since it uses less digits than its factorization.

1925187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1925187264 is about 43876.9559564015. The cubic root of 1925187264 is about 1244.0113038885.

The spelling of 1925187264 in words is "one billion, nine hundred twenty-five million, one hundred eighty-seven thousand, two hundred sixty-four".