861627672 has 64 divisors (see below), whose sum is σ = 2398617600. Its totient is φ = 286584480.

The previous prime is 861627659. The next prime is 861627673. The reversal of 861627672 is 276726168.

861627672 is a `hidden beast` number, since 8 + 616 + 27 + 6 + 7 + 2 = 666.

861627672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×861627672² = 1484804490312279168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861627673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101097 + ... + 109287.

It is an arithmetic number, because the mean of its divisors is an integer number (37478400).

Almost surely, 2^861627672 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 861627672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199308800).

861627672 is an abundant number, since it is smaller than the sum of its proper divisors (1536989928).

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

861627672 is a wasteful number, since it uses less digits than its factorization.

861627672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8683 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 861627672 is about 29353.4950559554. The cubic root of 861627672 is about 951.5681108310.

The spelling of 861627672 in words is "eight hundred sixty-one million, six hundred twenty-seven thousand, six hundred seventy-two".