1665085824 has 192 divisors, whose sum is σ = 5091840000. Its totient is φ = 520805376.

The previous prime is 1665085813. The next prime is 1665085831. The reversal of 1665085824 is 4285805661.

1665085824 is a `hidden beast` number, since 1 + 6 + 65 + 0 + 8 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1665085824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2779477 + ... + 2780075.

It is an arithmetic number, because the mean of its divisors is an integer number (26520000).

Almost surely, 2^1665085824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1665085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920000).

1665085824 is an abundant number, since it is smaller than the sum of its proper divisors (3426754176).

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

1665085824 is a wasteful number, since it uses less digits than its factorization.

1665085824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1665085824 is about 40805.4631636500. The cubic root of 1665085824 is about 1185.2561236691.

The spelling of 1665085824 in words is "one billion, six hundred sixty-five million, eighty-five thousand, eight hundred twenty-four".