1609291264 has 160 divisors (see below), whose sum is σ = 3963871296. Its totient is φ = 637009920.

The previous prime is 1609291259. The next prime is 1609291273. The reversal of 1609291264 is 4621929061.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3716392 + ... + 3716824.

Almost surely, 2^1609291264 is an apocalyptic number.

1609291264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981935648).

1609291264 is an abundant number, since it is smaller than the sum of its proper divisors (2354580032).

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

1609291264 is an equidigital number, since it uses as much as digits as its factorization.

1609291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1609291264 is about 40115.9726792209. The cubic root of 1609291264 is about 1171.8667120803.

The spelling of 1609291264 in words is "one billion, six hundred nine million, two hundred ninety-one thousand, two hundred sixty-four".