1506521664 has 84 divisors (see below), whose sum is σ = 4335400524. Its totient is φ = 500170752.

The previous prime is 1506521651. The next prime is 1506521693. The reversal of 1506521664 is 4661256051.

It can be written as a sum of positive squares in 2 ways, for example, as 1304654400 + 201867264 = 36120^2 + 14208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142944 + ... + 153120.

It is an arithmetic number, because the mean of its divisors is an integer number (51611911).

Almost surely, 2^1506521664 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 1506521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167700262).

1506521664 is an abundant number, since it is smaller than the sum of its proper divisors (2828878860).

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

1506521664 is a wasteful number, since it uses less digits than its factorization.

1506521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1506521664 is about 38813.9364661715. The cubic root of 1506521664 is about 1146.3708310795.

The spelling of 1506521664 in words is "one billion, five hundred six million, five hundred twenty-one thousand, six hundred sixty-four".