1609210368 has 160 divisors (see below), whose sum is σ = 4846564800. Its totient is φ = 527044608.

The previous prime is 1609210349. The next prime is 1609210381. The reversal of 1609210368 is 8630129061.

1609210368 is a `hidden beast` number, since 1 + 609 + 2 + 10 + 36 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814630 + ... + 816602.

It is an arithmetic number, because the mean of its divisors is an integer number (30291030).

Almost surely, 2^1609210368 is an apocalyptic number.

1609210368 is a gapful number since it is divisible by the number (18) 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 1609210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423282400).

1609210368 is an abundant number, since it is smaller than the sum of its proper divisors (3237354432).

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

1609210368 is an equidigital number, since it uses as much as digits as its factorization.

1609210368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1609210368 is about 40114.9643898633. The cubic root of 1609210368 is about 1171.8470759170.

The spelling of 1609210368 in words is "one billion, six hundred nine million, two hundred ten thousand, three hundred sixty-eight".