863832060 has 192 divisors, whose sum is σ = 3307852800. Its totient is φ = 182248704.

The previous prime is 863832043. The next prime is 863832061. The reversal of 863832060 is 60238368.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863832061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40351 + ... + 57929.

It is an arithmetic number, because the mean of its divisors is an integer number (17228400).

Almost surely, 2^863832060 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 863832060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653926400).

863832060 is an abundant number, since it is smaller than the sum of its proper divisors (2444020740).

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

863832060 is a wasteful number, since it uses less digits than its factorization.

863832060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17617 (or 17609 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 863832060 is about 29391.0200571535. The cubic root of 863832060 is about 952.3789169663.

The spelling of 863832060 in words is "eight hundred sixty-three million, eight hundred thirty-two thousand, sixty".