1609925760 has 256 divisors, whose sum is σ = 5748883200. Its totient is φ = 425779200.

The previous prime is 1609925747. The next prime is 1609925761. The reversal of 1609925760 is 675299061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1609925761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2608972 + ... + 2609588.

It is an arithmetic number, because the mean of its divisors is an integer number (22456575).

Almost surely, 2^1609925760 is an apocalyptic number.

1609925760 is a gapful number since it is divisible by the number (10) 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 1609925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874441600).

1609925760 is an abundant number, since it is smaller than the sum of its proper divisors (4138957440).

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

1609925760 is a wasteful number, since it uses less digits than its factorization.

1609925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1609925760 is about 40123.8801712895. The cubic root of 1609925760 is about 1172.0207026516.

It can be divided in two parts, 1609 and 925760, that added together give a square (927369 = 963²).

The spelling of 1609925760 in words is "one billion, six hundred nine million, nine hundred twenty-five thousand, seven hundred sixty".