1521828064 has 48 divisors (see below), whose sum is σ = 3056462640. Its totient is φ = 745666560.

The previous prime is 1521828001. The next prime is 1521828071. The reversal of 1521828064 is 4608281251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703144 + ... + 705304.

It is an arithmetic number, because the mean of its divisors is an integer number (63676305).

Almost surely, 2^1521828064 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 1521828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528231320).

1521828064 is an abundant number, since it is smaller than the sum of its proper divisors (1534634576).

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

1521828064 is a wasteful number, since it uses less digits than its factorization.

1521828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 1521828064 is about 39010.6147606007. The cubic root of 1521828064 is about 1150.2401676089.

The spelling of 1521828064 in words is "one billion, five hundred twenty-one million, eight hundred twenty-eight thousand, sixty-four".