14010864 has 160 divisors (see below), whose sum is σ = 45235200. Its totient is φ = 3725568.

The previous prime is 14010859. The next prime is 14010877. The reversal of 14010864 is 46801041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 378654 + ... + 378690.

It is an arithmetic number, because the mean of its divisors is an integer number (282720).

Almost surely, 2^14010864 is an apocalyptic number.

14010864 is a gapful number since it is divisible by the number (14) 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 14010864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617600).

14010864 is an abundant number, since it is smaller than the sum of its proper divisors (31224336).

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

14010864 is a wasteful number, since it uses less digits than its factorization.

14010864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14010864 is about 3743.1088683072. The cubic root of 14010864 is about 241.0765526452.

The spelling of 14010864 in words is "fourteen million, ten thousand, eight hundred sixty-four".