861617472 has 168 divisors, whose sum is σ = 2489801472. Its totient is φ = 262656000.

The previous prime is 861617461. The next prime is 861617479. The reversal of 861617472 is 274716168.

861617472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861617479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2148472 + ... + 2148872.

Almost surely, 2^861617472 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 861617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244900736).

861617472 is an abundant number, since it is smaller than the sum of its proper divisors (1628184000).

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

861617472 is a wasteful number, since it uses less digits than its factorization.

861617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 861617472 is about 29353.3213112247. The cubic root of 861617472 is about 951.5643559095.

The spelling of 861617472 in words is "eight hundred sixty-one million, six hundred seventeen thousand, four hundred seventy-two".