1600070016 has 128 divisors (see below), whose sum is σ = 4377219840. Its totient is φ = 517662720.

The previous prime is 1600070011. The next prime is 1600070023. The reversal of 1600070016 is 6100700061.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1600070016² = 5120448112204480512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1600069974 and 1600070001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600070011) 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, 1943781 + ... + 1944603.

It is an arithmetic number, because the mean of its divisors is an integer number (34197030).

Almost surely, 2^1600070016 is an apocalyptic number.

1600070016 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 1600070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188609920).

1600070016 is an abundant number, since it is smaller than the sum of its proper divisors (2777149824).

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

1600070016 is an equidigital number, since it uses as much as digits as its factorization.

1600070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1600070016 is about 40000.8751904255. The cubic root of 1600070016 is about 1169.6241557051.

Adding to 1600070016 its reverse (6100700061), we get a palindrome (7700770077).

The spelling of 1600070016 in words is "one billion, six hundred million, seventy thousand, sixteen".