617993712 has 270 divisors, whose sum is σ = 2125734728. Its totient is φ = 170481024.

The previous prime is 617993669. The next prime is 617993743. The reversal of 617993712 is 217399716.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21310114 + ... + 21310142.

Almost surely, 2^617993712 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 617993712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062867364).

617993712 is an abundant number, since it is smaller than the sum of its proper divisors (1507741016).

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

617993712 is an frugal number, since it uses more digits than its factorization.

617993712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 617993712 is about 24859.4793187629. The cubic root of 617993712 is about 851.7811379910.

The spelling of 617993712 in words is "six hundred seventeen million, nine hundred ninety-three thousand, seven hundred twelve".