1608731280 has 400 divisors, whose sum is σ = 6106327920. Its totient is φ = 392491008.

The previous prime is 1608731249. The next prime is 1608731281. The reversal of 1608731280 is 821378061.

1608731280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1548265104 + 60466176 = 39348^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1608731281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14236504 + ... + 14236616.

Almost surely, 2^1608731280 is an apocalyptic number.

1608731280 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 1608731280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053163960).

1608731280 is an abundant number, since it is smaller than the sum of its proper divisors (4497596640).

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

1608731280 is a wasteful number, since it uses less digits than its factorization.

1608731280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1608731280 is about 40108.9925079152. The cubic root of 1608731280 is about 1171.7307717539.

The spelling of 1608731280 in words is "one billion, six hundred eight million, seven hundred thirty-one thousand, two hundred eighty".