1609288040 has 32 divisors (see below), whose sum is σ = 3639676680. Its totient is φ = 640376832.

The previous prime is 1609288033. The next prime is 1609288061. The reversal of 1609288040 is 408829061.

It can be written as a sum of positive squares in 4 ways, for example, as 765850276 + 843437764 = 27674^2 + 29042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1609287985 and 1609288003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96509 + ... + 111948.

Almost surely, 2^1609288040 is an apocalyptic number.

1609288040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1609288040 is an abundant number, since it is smaller than the sum of its proper divisors (2030388640).

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

1609288040 is a wasteful number, since it uses less digits than its factorization.

1609288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208661 (or 208657 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1609288040 is about 40115.9324957055. The cubic root of 1609288040 is about 1171.8659295203.

The spelling of 1609288040 in words is "one billion, six hundred nine million, two hundred eighty-eight thousand, forty".