1604667264 has 128 divisors (see below), whose sum is σ = 4531762080. Its totient is φ = 501350400.

The previous prime is 1604667227. The next prime is 1604667269. The reversal of 1604667264 is 4627664061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604667269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617422 + ... + 2618034.

Almost surely, 2^1604667264 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 1604667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265881040).

1604667264 is an abundant number, since it is smaller than the sum of its proper divisors (2927094816).

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

1604667264 is a wasteful number, since it uses less digits than its factorization.

1604667264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 1604667264 is about 40058.2983163289. The cubic root of 1604667264 is about 1170.7432548197.

The spelling of 1604667264 in words is "one billion, six hundred four million, six hundred sixty-seven thousand, two hundred sixty-four".