1521264 has 40 divisors (see below), whose sum is σ = 4030992. Its totient is φ = 494080.

The previous prime is 1521241. The next prime is 1521269. The reversal of 1521264 is 4621251.

It is a self number, because there is not a number n which added to its sum of digits gives 1521264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1521269) 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 7 ways as a sum of consecutive naturals, for example, 1582 + ... + 2354.

2^1521264 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 1521264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015496).

1521264 is an abundant number, since it is smaller than the sum of its proper divisors (2509728).

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

1521264 is a wasteful number, since it uses less digits than its factorization.

1521264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 1521264 is about 1233.3953137579. The cubic root of 1521264 is about 115.0098038271.

The spelling of 1521264 in words is "one million, five hundred twenty-one thousand, two hundred sixty-four".