864123414 has 64 divisors (see below), whose sum is σ = 2169331200. Its totient is φ = 222923520.

The previous prime is 864123373. The next prime is 864123427. The reversal of 864123414 is 414321468.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62562 + ... + 75114.

It is an arithmetic number, because the mean of its divisors is an integer number (33895800).

Almost surely, 2^864123414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864123414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084665600).

864123414 is an abundant number, since it is smaller than the sum of its proper divisors (1305207786).

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

864123414 is a wasteful number, since it uses less digits than its factorization.

864123414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725.

The product of its digits is 18432, while the sum is 33.

The square root of 864123414 is about 29395.9761532085. The cubic root of 864123414 is about 952.4859779833.

The spelling of 864123414 in words is "eight hundred sixty-four million, one hundred twenty-three thousand, four hundred fourteen".