1609896960 has 792 divisors, whose sum is σ = 6989538816. Its totient is φ = 340623360.

The previous prime is 1609896887. The next prime is 1609896979. The reversal of 1609896960 is 696989061.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1609896897 and 1609896906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51932145 + ... + 51932175.

Almost surely, 2^1609896960 is an apocalyptic number.

1609896960 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 1609896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494769408).

1609896960 is an abundant number, since it is smaller than the sum of its proper divisors (5379641856).

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

1609896960 is a wasteful number, since it uses less digits than its factorization.

1609896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 1609896960 is about 40123.5212811637. The cubic root of 1609896960 is about 1172.0137138412.

The spelling of 1609896960 in words is "one billion, six hundred nine million, eight hundred ninety-six thousand, nine hundred sixty".