1566142560 has 192 divisors, whose sum is σ = 5609640960. Its totient is φ = 407877120.

The previous prime is 1566142547. The next prime is 1566142577. The reversal of 1566142560 is 652416651.

1566142560 is a `hidden beast` number, since 1 + 56 + 6 + 1 + 42 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181545 + ... + 189975.

It is an arithmetic number, because the mean of its divisors is an integer number (29216880).

Almost surely, 2^1566142560 is an apocalyptic number.

1566142560 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 1566142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804820480).

1566142560 is an abundant number, since it is smaller than the sum of its proper divisors (4043498400).

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

1566142560 is a wasteful number, since it uses less digits than its factorization.

1566142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1566142560 is about 39574.5190747784. The cubic root of 1566142560 is about 1161.2982294444.

The spelling of 1566142560 in words is "one billion, five hundred sixty-six million, one hundred forty-two thousand, five hundred sixty".