1599144960 has 352 divisors, whose sum is σ = 5942522880. Its totient is φ = 359497728.

The previous prime is 1599144949. The next prime is 1599144971. The reversal of 1599144960 is 694419951.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1599144949) and next prime (1599144971).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11504571 + ... + 11504709.

Almost surely, 2^1599144960 is an apocalyptic number.

1599144960 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 1599144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971261440).

1599144960 is an abundant number, since it is smaller than the sum of its proper divisors (4343377920).

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

1599144960 is a wasteful number, since it uses less digits than its factorization.

1599144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1599144960 is about 39989.3105717015. The cubic root of 1599144960 is about 1169.3987121502.

The spelling of 1599144960 in words is "one billion, five hundred ninety-nine million, one hundred forty-four thousand, nine hundred sixty".