1616947968 has 54 divisors (see below), whose sum is σ = 4306407532. Its totient is φ = 538611200.

The previous prime is 1616947957. The next prime is 1616948023. The reversal of 1616947968 is 8697496161.

It is a super-2 number, since 2×1616947968² = 5229041462438658048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1113643 + ... + 1115093.

Almost surely, 2^1616947968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153203766).

1616947968 is an abundant number, since it is smaller than the sum of its proper divisors (2689459564).

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

1616947968 is an frugal number, since it uses more digits than its factorization.

1616947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 1456 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 1616947968 is about 40211.2915485191. The cubic root of 1616947968 is about 1173.7222792275.

The spelling of 1616947968 in words is "one billion, six hundred sixteen million, nine hundred forty-seven thousand, nine hundred sixty-eight".