1024792560 has 300 divisors, whose sum is σ = 3915233784. Its totient is φ = 248244480.

The previous prime is 1024792553. The next prime is 1024792567. The reversal of 1024792560 is 652974201.

1024792560 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 7 + 92 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1024792553) and next prime (1024792567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024792567) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 783427 + ... + 784733.

Almost surely, 2^1024792560 is an apocalyptic number.

1024792560 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 1024792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957616892).

1024792560 is an abundant number, since it is smaller than the sum of its proper divisors (2890441224).

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

1024792560 is a wasteful number, since it uses less digits than its factorization.

1024792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1328 counting only the distinct ones).

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

The square root of 1024792560 is about 32012.3813547196. The cubic root of 1024792560 is about 1008.1968153102.

The spelling of 1024792560 in words is "one billion, twenty-four million, seven hundred ninety-two thousand, five hundred sixty".