8613864 has 112 divisors (see below), whose sum is σ = 27805920. Its totient is φ = 2449440.

The previous prime is 8613863. The next prime is 8613887. The reversal of 8613864 is 4683168.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8613863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40719 + ... + 40929.

Almost surely, 2^8613864 is an apocalyptic number.

8613864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8613864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13902960).

8613864 is an abundant number, since it is smaller than the sum of its proper divisors (19192056).

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

8613864 is a wasteful number, since it uses less digits than its factorization.

8613864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8613864 is about 2934.9385002075. The cubic root of 8613864 is about 204.9899975290.

The spelling of 8613864 in words is "eight million, six hundred thirteen thousand, eight hundred sixty-four".