1025792640 has 512 divisors, whose sum is σ = 3965760000. Its totient is φ = 249790464.

The previous prime is 1025792639. The next prime is 1025792659. The reversal of 1025792640 is 462975201.

1025792640 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 7 + 9 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1025792595 and 1025792604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11525716 + ... + 11525804.

It is an arithmetic number, because the mean of its divisors is an integer number (7745625).

Almost surely, 2^1025792640 is an apocalyptic number.

1025792640 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 1025792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982880000).

1025792640 is an abundant number, since it is smaller than the sum of its proper divisors (2939967360).

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

1025792640 is a wasteful number, since it uses less digits than its factorization.

1025792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1025792640 is about 32027.9977519669. The cubic root of 1025792640 is about 1008.5246701692.

The spelling of 1025792640 in words is "one billion, twenty-five million, seven hundred ninety-two thousand, six hundred forty".