1560688668 has 192 divisors, whose sum is σ = 5141283840. Its totient is φ = 397612800.

The previous prime is 1560688637. The next prime is 1560688669. The reversal of 1560688668 is 8668860651.

It is a happy number.

It is a super-2 number, since 2×1560688668² = 4871498236847228448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1560688669) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 438978 + ... + 442518.

It is an arithmetic number, because the mean of its divisors is an integer number (26777520).

Almost surely, 2^1560688668 is an apocalyptic number.

1560688668 is a gapful number since it is divisible by the number (18) 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 1560688668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570641920).

1560688668 is an abundant number, since it is smaller than the sum of its proper divisors (3580595172).

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

1560688668 is a wasteful number, since it uses less digits than its factorization.

1560688668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 1560688668 is about 39505.5523692556. The cubic root of 1560688668 is about 1159.9486372422.

The spelling of 1560688668 in words is "one billion, five hundred sixty million, six hundred eighty-eight thousand, six hundred sixty-eight".