1568160 has 180 divisors, whose sum is σ = 6083154. Its totient is φ = 380160.

The previous prime is 1568159. The next prime is 1568173. The reversal of 1568160 is 618651.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 156816 = 1188^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 142555 + ... + 142565.

2^1568160 is an apocalyptic number.

1568160 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 1568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041577).

1568160 is an abundant number, since it is smaller than the sum of its proper divisors (4514994).

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

1568160 is a wasteful number, since it uses less digits than its factorization.

1568160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1568160 is about 1252.2619534267. The cubic root of 1568160 is about 116.1796660918.

Multiplying 1568160 by its product of nonzero digits (1440), we get a square (2258150400 = 47520²).

1568160 divided by its product of nonzero digits (1440) gives a square (1089 = 33²).

It can be divided in two parts, 1568 and 160, that added together give a cube (1728 = 12³).

The spelling of 1568160 in words is "one million, five hundred sixty-eight thousand, one hundred sixty".