864732672 has 200 divisors, whose sum is σ = 2673712800. Its totient is φ = 277917696.

The previous prime is 864732647. The next prime is 864732697. The reversal of 864732672 is 276237468.

It is an interprime number because it is at equal distance from previous prime (864732647) and next prime (864732697).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1202329 + ... + 1203047.

It is an arithmetic number, because the mean of its divisors is an integer number (13368564).

Almost surely, 2^864732672 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 864732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336856400).

864732672 is an abundant number, since it is smaller than the sum of its proper divisors (1808980128).

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

864732672 is an equidigital number, since it uses as much as digits as its factorization.

864732672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 753 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 864732672 is about 29406.3372761723. The cubic root of 864732672 is about 952.7097783347.

The spelling of 864732672 in words is "eight hundred sixty-four million, seven hundred thirty-two thousand, six hundred seventy-two".