1609289640 has 128 divisors (see below), whose sum is σ = 6130656000. Its totient is φ = 367835904.

The previous prime is 1609289629. The next prime is 1609289653. The reversal of 1609289640 is 469829061.

It is a happy number.

It is a super-3 number, since 3×1609289640³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 98875 + ... + 113994.

It is an arithmetic number, because the mean of its divisors is an integer number (47895750).

Almost surely, 2^1609289640 is an apocalyptic number.

1609289640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1609289640 is an abundant number, since it is smaller than the sum of its proper divisors (4521366360).

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

1609289640 is a wasteful number, since it uses less digits than its factorization.

1609289640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212896 (or 212886 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1609289640 is about 40115.9524379018. The cubic root of 1609289640 is about 1171.8663178877.

The spelling of 1609289640 in words is "one billion, six hundred nine million, two hundred eighty-nine thousand, six hundred forty".