1600648736 has 96 divisors (see below), whose sum is σ = 3474258480. Its totient is φ = 722534400.

The previous prime is 1600648717. The next prime is 1600648747. The reversal of 1600648736 is 6378460061.

It can be written as a sum of positive squares in 8 ways, for example, as 694638736 + 906010000 = 26356^2 + 30100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1600648693 and 1600648702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3801806 + ... + 3802226.

Almost surely, 2^1600648736 is an apocalyptic number.

1600648736 is a gapful number since it is divisible by the number (16) 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 1600648736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737129240).

1600648736 is an abundant number, since it is smaller than the sum of its proper divisors (1873609744).

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

1600648736 is a wasteful number, since it uses less digits than its factorization.

1600648736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 1600648736 is about 40008.1083781775. The cubic root of 1600648736 is about 1169.7651502230.

The spelling of 1600648736 in words is "one billion, six hundred million, six hundred forty-eight thousand, seven hundred thirty-six".