1609056 has 72 divisors (see below), whose sum is σ = 4730544. Its totient is φ = 518400.

The previous prime is 1609043. The next prime is 1609061. The reversal of 1609056 is 6509061.

1609056 is a `hidden beast` number, since 1 + 609 + 0 + 56 = 666.

1609056 is nontrivially palindromic in base 11.

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

It is a super-2 number, since 2×1609056² = 5178122422272, 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 11 ways as a sum of consecutive naturals, for example, 10581 + ... + 10731.

It is an arithmetic number, because the mean of its divisors is an integer number (65702).

2^1609056 is an apocalyptic number.

1609056 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 1609056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365272).

1609056 is an abundant number, since it is smaller than the sum of its proper divisors (3121488).

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

1609056 is a wasteful number, since it uses less digits than its factorization.

1609056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1609056 is about 1268.4857113898. The cubic root of 1609056 is about 117.1809603817.

It can be divided in two parts, 160 and 9056, that added together give a square (9216 = 96²).

The spelling of 1609056 in words is "one million, six hundred nine thousand, fifty-six".