1531968 has 56 divisors (see below), whose sum is σ = 4145280. Its totient is φ = 499200.

The previous prime is 1531909. The next prime is 1531987. The reversal of 1531968 is 8691351.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 15118 + ... + 15218.

2^1531968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072640).

1531968 is an abundant number, since it is smaller than the sum of its proper divisors (2613312).

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

1531968 is a wasteful number, since it uses less digits than its factorization.

1531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 1531968 is about 1237.7269488865. The cubic root of 1531968 is about 115.2789196878.

The spelling of 1531968 in words is "one million, five hundred thirty-one thousand, nine hundred sixty-eight".