1568896 has 64 divisors (see below), whose sum is σ = 3818880. Its totient is φ = 626688.

The previous prime is 1568891. The next prime is 1568909. The reversal of 1568896 is 6988651.

1568896 = T₃₇₆ + T₃₇₇ + ... + T₃₉₆.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1568896³ = 11585204971433361408, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1568891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15181 + ... + 15283.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

2^1568896 is an apocalyptic number.

1568896 is a gapful number since it is divisible by the number (16) 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 1568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909440).

1568896 is an abundant number, since it is smaller than the sum of its proper divisors (2249984).

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

1568896 is a wasteful number, since it uses less digits than its factorization.

1568896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 1568896 is about 1252.5557871808. Note that the first 3 decimals coincide. The cubic root of 1568896 is about 116.1978391652.

It can be divided in two parts, 1568 and 896, that multiplied together give a cube (1404928 = 112³).

The spelling of 1568896 in words is "one million, five hundred sixty-eight thousand, eight hundred ninety-six".