1609026120 has 160 divisors (see below), whose sum is σ = 5824276920. Its totient is φ = 396057600.

The previous prime is 1609026113. The next prime is 1609026143. The reversal of 1609026120 is 216209061.

It can be written as a sum of positive squares in 4 ways, for example, as 915546564 + 693479556 = 30258^2 + 26334^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23020 + ... + 61220.

Almost surely, 2^1609026120 is an apocalyptic number.

1609026120 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 1609026120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912138460).

1609026120 is an abundant number, since it is smaller than the sum of its proper divisors (4215250800).

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

1609026120 is a wasteful number, since it uses less digits than its factorization.

1609026120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38237 (or 38224 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1609026120 is about 40112.6678245165. The cubic root of 1609026120 is about 1171.8023503122.

The spelling of 1609026120 in words is "one billion, six hundred nine million, twenty-six thousand, one hundred twenty".