1620834768 has 120 divisors (see below), whose sum is σ = 5255352128. Its totient is φ = 456731136.

The previous prime is 1620834739. The next prime is 1620834779. The reversal of 1620834768 is 8674380261.

1620834768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1620834768² = 5254210690315227648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62571 + ... + 84597.

Almost surely, 2^1620834768 is an apocalyptic number.

1620834768 is a gapful number since it is divisible by the number (18) 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 1620834768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627676064).

1620834768 is an abundant number, since it is smaller than the sum of its proper divisors (3634517360).

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

1620834768 is a wasteful number, since it uses less digits than its factorization.

1620834768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22121 (or 22112 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1620834768 is about 40259.5922483077. The cubic root of 1620834768 is about 1174.6619864907.

The spelling of 1620834768 in words is "one billion, six hundred twenty million, eight hundred thirty-four thousand, seven hundred sixty-eight".