1521168 has 80 divisors (see below), whose sum is σ = 4452096. Its totient is φ = 443520.

The previous prime is 1521133. The next prime is 1521193. The reversal of 1521168 is 8611251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22671 + ... + 22737.

2^1521168 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 1521168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226048).

1521168 is an abundant number, since it is smaller than the sum of its proper divisors (2930928).

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

1521168 is a wasteful number, since it uses less digits than its factorization.

1521168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 1521168 is about 1233.3563961808. The cubic root of 1521168 is about 115.0073845290.

The spelling of 1521168 in words is "one million, five hundred twenty-one thousand, one hundred sixty-eight".