1599120640 has 144 divisors (see below), whose sum is σ = 4368461328. Its totient is φ = 555614208.

The previous prime is 1599120631. The next prime is 1599120643. The reversal of 1599120640 is 460219951.

It can be written as a sum of positive squares in 8 ways, for example, as 1679616 + 1597441024 = 1296^2 + 39968^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1599120640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1599120643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280054 + ... + 285706.

It is an arithmetic number, because the mean of its divisors is an integer number (30336537).

Almost surely, 2^1599120640 is an apocalyptic number.

1599120640 is a gapful number since it is divisible by the number (10) 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 1599120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184230664).

1599120640 is an abundant number, since it is smaller than the sum of its proper divisors (2769340688).

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

1599120640 is a wasteful number, since it uses less digits than its factorization.

1599120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 1599120640 is about 39989.0064892840. The cubic root of 1599120640 is about 1169.3927839987.

The spelling of 1599120640 in words is "one billion, five hundred ninety-nine million, one hundred twenty thousand, six hundred forty".