1560900096 has 360 divisors, whose sum is σ = 5433652224. Its totient is φ = 429649920.

The previous prime is 1560900023. The next prime is 1560900113. The reversal of 1560900096 is 6900090651.

1560900096 is a `hidden beast` number, since 1 + 560 + 9 + 0 + 0 + 0 + 96 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1560900096 = 16³ + 1160³ = 391³ + 1145³.

It is a self number, because there is not a number n which added to its sum of digits gives 1560900096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6999441 + ... + 6999663.

Almost surely, 2^1560900096 is an apocalyptic number.

1560900096 is a gapful number since it is divisible by the number (16) 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 1560900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716826112).

1560900096 is an abundant number, since it is smaller than the sum of its proper divisors (3872752128).

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

1560900096 is a wasteful number, since it uses less digits than its factorization.

1560900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1560900096 is about 39508.2282062863. The cubic root of 1560900096 is about 1160.0010146642.

The spelling of 1560900096 in words is "one billion, five hundred sixty million, nine hundred thousand, ninety-six".