1545856 has 32 divisors (see below), whose sum is σ = 3320100. Its totient is φ = 712704.

The previous prime is 1545847. The next prime is 1545857. The reversal of 1545856 is 6585451.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 379456 = 1080^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1545857) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1200 + ... + 2128.

2^1545856 is an apocalyptic number.

1545856 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 1545856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660050).

1545856 is an abundant number, since it is smaller than the sum of its proper divisors (1774244).

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

1545856 is an equidigital number, since it uses as much as digits as its factorization.

1545856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its digits is 24000, while the sum is 34.

The square root of 1545856 is about 1243.3245754830. The cubic root of 1545856 is about 115.6262245792.

It can be divided in two parts, 1545 and 856, that added together give a 4-th power (2401 = 7⁴).

The spelling of 1545856 in words is "one million, five hundred forty-five thousand, eight hundred fifty-six".