617442672 has 120 divisors (see below), whose sum is σ = 2003843968. Its totient is φ = 160364160.

The previous prime is 617442607. The next prime is 617442689. The reversal of 617442672 is 276244716.

617442672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 617442672.

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, 33063 + ... + 48249.

Almost surely, 2^617442672 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 617442672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001921984).

617442672 is an abundant number, since it is smaller than the sum of its proper divisors (1386401296).

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

617442672 is a wasteful number, since it uses less digits than its factorization.

617442672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227 (or 15210 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 617442672 is about 24848.3937509047. The cubic root of 617442672 is about 851.5278964433.

The spelling of 617442672 in words is "six hundred seventeen million, four hundred forty-two thousand, six hundred seventy-two".