1599120864 has 288 divisors, whose sum is σ = 5396751360. Its totient is φ = 443750400.

The previous prime is 1599120857. The next prime is 1599120869. The reversal of 1599120864 is 4680219951.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1599120864³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1599120869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865524 + ... + 1866380.

It is an arithmetic number, because the mean of its divisors is an integer number (18738720).

Almost surely, 2^1599120864 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 1599120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698375680).

1599120864 is an abundant number, since it is smaller than the sum of its proper divisors (3797630496).

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

1599120864 is a wasteful number, since it uses less digits than its factorization.

1599120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1599120864 is about 39989.0092900537. The cubic root of 1599120864 is about 1169.3928386003.

The spelling of 1599120864 in words is "one billion, five hundred ninety-nine million, one hundred twenty thousand, eight hundred sixty-four".