1609629540 has 48 divisors (see below), whose sum is σ = 4509435840. Its totient is φ = 428999040.

The previous prime is 1609629481. The next prime is 1609629583. The reversal of 1609629540 is 459269061.

It is a happy number.

It is a super-2 number, since 2×1609629540² = 5181814512081223200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1609629492 and 1609629501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121566 + ... + 134154.

It is an arithmetic number, because the mean of its divisors is an integer number (93946580).

Almost surely, 2^1609629540 is an apocalyptic number.

1609629540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1609629540 is an abundant number, since it is smaller than the sum of its proper divisors (2899806300).

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

1609629540 is a wasteful number, since it uses less digits than its factorization.

1609629540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14732 (or 14730 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1609629540 is about 40120.1886835045. The cubic root of 1609629540 is about 1171.9488158445.

The spelling of 1609629540 in words is "one billion, six hundred nine million, six hundred twenty-nine thousand, five hundred forty".