1566116160 has 224 divisors, whose sum is σ = 6017483520. Its totient is φ = 336887808.

The previous prime is 1566116107. The next prime is 1566116183. The reversal of 1566116160 is 616116651.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1566116160² = 4905439653226291200, which contains 22 as substring.

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, 107386 + ... + 121094.

Almost surely, 2^1566116160 is an apocalyptic number.

1566116160 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 1566116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008741760).

1566116160 is an abundant number, since it is smaller than the sum of its proper divisors (4451367360).

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

1566116160 is a wasteful number, since it uses less digits than its factorization.

1566116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1566116160 is about 39574.1855254154. The cubic root of 1566116160 is about 1161.2917041879.

The spelling of 1566116160 in words is "one billion, five hundred sixty-six million, one hundred sixteen thousand, one hundred sixty".