861672 has 64 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 234432.

The previous prime is 861659. The next prime is 861691. The reversal of 861672 is 276168.

It is a happy number.

861672 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 an unprimeable number.

861672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁸⁶¹⁶⁷² 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 861672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

861672 is an abundant number, since it is smaller than the sum of its proper divisors (1718808).

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

861672 is a wasteful number, since it uses less digits than its factorization.

861672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 861672 is about 928.2628937968. The cubic root of 861672 is about 95.1584428934.

The spelling of 861672 in words is "eight hundred sixty-one thousand, six hundred seventy-two".