1600309056 has 112 divisors (see below), whose sum is σ = 4322332224. Its totient is φ = 522448896.

The previous prime is 1600308961. The next prime is 1600309057. The reversal of 1600309056 is 6509030061.

It is a happy number.

It is a super-2 number, since 2×1600309056² = 5121978149431222272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600309057) 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, 2182866 + ... + 2183598.

It is an arithmetic number, because the mean of its divisors is an integer number (38592252).

Almost surely, 2^1600309056 is an apocalyptic number.

1600309056 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 1600309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161166112).

1600309056 is an abundant number, since it is smaller than the sum of its proper divisors (2722023168).

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

1600309056 is a wasteful number, since it uses less digits than its factorization.

1600309056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1600309056 is about 40003.8630134641. The cubic root of 1600309056 is about 1169.6823975391.

The spelling of 1600309056 in words is "one billion, six hundred million, three hundred nine thousand, fifty-six".