1605868992 has 168 divisors, whose sum is σ = 5665333856. Its totient is φ = 423512064.

The previous prime is 1605868969. The next prime is 1605869003. The reversal of 1605868992 is 2998685061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 37098 + ... + 67734.

Almost surely, 2^1605868992 is an apocalyptic number.

1605868992 is a gapful number since it is divisible by the number (12) 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 1605868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832666928).

1605868992 is an abundant number, since it is smaller than the sum of its proper divisors (4059464864).

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

1605868992 is a wasteful number, since it uses less digits than its factorization.

1605868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30675 (or 30662 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1605868992 is about 40073.2952475835. The cubic root of 1605868992 is about 1171.0354366564.

The spelling of 1605868992 in words is "one billion, six hundred five million, eight hundred sixty-eight thousand, nine hundred ninety-two".