1609067040 has 192 divisors, whose sum is σ = 5853544704. Its totient is φ = 363921408.

The previous prime is 1609067029. The next prime is 1609067069. The reversal of 1609067040 is 407609061.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1609066992 and 1609067010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323452 + ... + 328388.

It is an arithmetic number, because the mean of its divisors is an integer number (30487212).

Almost surely, 2^1609067040 is an apocalyptic number.

1609067040 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 1609067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926772352).

1609067040 is an abundant number, since it is smaller than the sum of its proper divisors (4244477664).

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

1609067040 is a wasteful number, since it uses less digits than its factorization.

1609067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1609067040 is about 40113.1778845805. The cubic root of 1609067040 is about 1171.8122838045.

The spelling of 1609067040 in words is "one billion, six hundred nine million, sixty-seven thousand, forty".