1600381536 has 96 divisors (see below), whose sum is σ = 4634648928. Its totient is φ = 480399360.

The previous prime is 1600381507. The next prime is 1600381583. The reversal of 1600381536 is 6351830061.

1600381536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1600381536² = 5122442121539438592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1600381497 and 1600381506.

It is a congruent number.

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, 35530 + ... + 66806.

It is an arithmetic number, because the mean of its divisors is an integer number (48277593).

Almost surely, 2^1600381536 is an apocalyptic number.

1600381536 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 1600381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317324464).

1600381536 is an abundant number, since it is smaller than the sum of its proper divisors (3034267392).

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

1600381536 is a wasteful number, since it uses less digits than its factorization.

1600381536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31344 (or 31336 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1600381536 is about 40004.7689157180. The cubic root of 1600381536 is about 1169.7000560657.

The spelling of 1600381536 in words is "one billion, six hundred million, three hundred eighty-one thousand, five hundred thirty-six".