1565968800 has 288 divisors, whose sum is σ = 5804628480. Its totient is φ = 362982400.

The previous prime is 1565968763. The next prime is 1565968837. The reversal of 1565968800 is 88695651.

It is an interprime number because it is at equal distance from previous prime (1565968763) and next prime (1565968837).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1565968800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605911 + ... + 608489.

It is an arithmetic number, because the mean of its divisors is an integer number (20154960).

Almost surely, 2^1565968800 is an apocalyptic number.

1565968800 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 1565968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902314240).

1565968800 is an abundant number, since it is smaller than the sum of its proper divisors (4238659680).

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

1565968800 is a wasteful number, since it uses less digits than its factorization.

1565968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 1565968800 is about 39572.3236618726. The cubic root of 1565968800 is about 1161.2552800457.

The spelling of 1565968800 in words is "one billion, five hundred sixty-five million, nine hundred sixty-eight thousand, eight hundred".