1601568 has 72 divisors (see below), whose sum is σ = 4678128. Its totient is φ = 519552.

The previous prime is 1601563. The next prime is 1601569. The reversal of 1601568 is 8651061.

1601568 is a `hidden beast` number, since 1 + 601 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1601563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19255 + ... + 19337.

It is an arithmetic number, because the mean of its divisors is an integer number (64974).

2^1601568 is an apocalyptic number.

1601568 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 1601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339064).

1601568 is an abundant number, since it is smaller than the sum of its proper divisors (3076560).

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

1601568 is a wasteful number, since it uses less digits than its factorization.

1601568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

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

The square root of 1601568 is about 1265.5307187105. The cubic root of 1601568 is about 116.9989042194.

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

The spelling of 1601568 in words is "one million, six hundred one thousand, five hundred sixty-eight".