1609254768 has 80 divisors (see below), whose sum is σ = 4551958656. Its totient is φ = 485848320.

The previous prime is 1609254767. The next prime is 1609254769. The reversal of 1609254768 is 8674529061.

It is an interprime number because it is at equal distance from previous prime (1609254767) and next prime (1609254769).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609254763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140755 + ... + 151757.

Almost surely, 2^1609254768 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 1609254768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275979328).

1609254768 is an abundant number, since it is smaller than the sum of its proper divisors (2942703888).

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

1609254768 is a wasteful number, since it uses less digits than its factorization.

1609254768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1609254768 is about 40115.5177954866. The cubic root of 1609254768 is about 1171.8578533626.

The spelling of 1609254768 in words is "one billion, six hundred nine million, two hundred fifty-four thousand, seven hundred sixty-eight".