1925645760 has 336 divisors, whose sum is σ = 7209349056. Its totient is φ = 469794816.

The previous prime is 1925645749. The next prime is 1925645779. The reversal of 1925645760 is 675465291.

1925645760 is a `hidden beast` number, since 1 + 92 + 56 + 457 + 60 = 666.

It is a super-2 number, since 2×1925645760² = 7416223186011955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1810989 + ... + 1812051.

It is an arithmetic number, because the mean of its divisors is an integer number (21456396).

Almost surely, 2^1925645760 is an apocalyptic number.

1925645760 is a gapful number since it is divisible by the number (10) 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 1925645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604674528).

1925645760 is an abundant number, since it is smaller than the sum of its proper divisors (5283703296).

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

1925645760 is a wasteful number, since it uses less digits than its factorization.

1925645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1925645760 is about 43882.1804380776. The cubic root of 1925645760 is about 1244.1100525391.

The spelling of 1925645760 in words is "one billion, nine hundred twenty-five million, six hundred forty-five thousand, seven hundred sixty".