1505664 has 48 divisors (see below), whose sum is σ = 4336020. Its totient is φ = 501504.

The previous prime is 1505659. The next prime is 1505681. The reversal of 1505664 is 4665051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499 + ... + 1805.

2^1505664 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 1505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168010).

1505664 is an abundant number, since it is smaller than the sum of its proper divisors (2830356).

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

1505664 is a wasteful number, since it uses less digits than its factorization.

1505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1505664 is about 1227.0550109918. The cubic root of 1505664 is about 114.6153246504.

The spelling of 1505664 in words is "one million, five hundred five thousand, six hundred sixty-four".