1531920 has 80 divisors (see below), whose sum is σ = 5124672. Its totient is φ = 376320.

The previous prime is 1531909. The next prime is 1531987. The reversal of 1531920 is 291351.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2875 + ... + 3365.

2^1531920 is an apocalyptic number.

1531920 is a gapful number since it is divisible by the number (10) 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 1531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336).

1531920 is an abundant number, since it is smaller than the sum of its proper divisors (3592752).

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

1531920 is a wasteful number, since it uses less digits than its factorization.

1531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1531920 is about 1237.7075583513. The cubic root of 1531920 is about 115.2777156927.

The spelling of 1531920 in words is "one million, five hundred thirty-one thousand, nine hundred twenty".