1608992640 has 128 divisors (see below), whose sum is σ = 5698576800. Its totient is φ = 429060096.

The previous prime is 1608992639. The next prime is 1608992657. The reversal of 1608992640 is 462998061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29277 + ... + 63836.

Almost surely, 2^1608992640 is an apocalyptic number.

1608992640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608992640 is an abundant number, since it is smaller than the sum of its proper divisors (4089584160).

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

1608992640 is an equidigital number, since it uses as much as digits as its factorization.

1608992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93141 (or 93123 counting only the distinct ones).

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

The square root of 1608992640 is about 40112.2504978217. The cubic root of 1608992640 is about 1171.7942227842.

The spelling of 1608992640 in words is "one billion, six hundred eight million, nine hundred ninety-two thousand, six hundred forty".