1531664 has 20 divisors (see below), whose sum is σ = 3070860. Its totient is φ = 739200.

The previous prime is 1531661. The next prime is 1531669. The reversal of 1531664 is 4661351.

It can be written as a sum of positive squares in 2 ways, for example, as 547600 + 984064 = 740^2 + 992^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1531661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1187 + ... + 2114.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

2^1531664 is an apocalyptic number.

It is an amenable number.

1531664 is an abundant number, since it is smaller than the sum of its proper divisors (1539196).

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

1531664 is a wasteful number, since it uses less digits than its factorization.

1531664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3332 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 1531664 is about 1237.6041370325. The cubic root of 1531664 is about 115.2712939607.

The spelling of 1531664 in words is "one million, five hundred thirty-one thousand, six hundred sixty-four".