1531936 has 36 divisors (see below), whose sum is σ = 3511998. Its totient is φ = 655872.

The previous prime is 1531909. The next prime is 1531987. The reversal of 1531936 is 6391351.

It can be written as a sum of positive squares in only one way, i.e., 960400 + 571536 = 980^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1080 + ... + 2056.

2^1531936 is an apocalyptic number.

1531936 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 1531936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755999).

1531936 is an abundant number, since it is smaller than the sum of its proper divisors (1980062).

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

1531936 is an equidigital number, since it uses as much as digits as its factorization.

1531936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 986 counting only the distinct ones).

The product of its digits is 2430, while the sum is 28.

The square root of 1531936 is about 1237.7140218968. The cubic root of 1531936 is about 115.2781170272.

The spelling of 1531936 in words is "one million, five hundred thirty-one thousand, nine hundred thirty-six".