14766864 has 80 divisors (see below), whose sum is σ = 44282880. Its totient is φ = 4152960.

The previous prime is 14766853. The next prime is 14766877. The reversal of 14766864 is 46866741.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23547 + ... + 24165.

It is an arithmetic number, because the mean of its divisors is an integer number (553536).

Almost surely, 2^14766864 is an apocalyptic number.

14766864 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 14766864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141440).

14766864 is an abundant number, since it is smaller than the sum of its proper divisors (29516016).

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

14766864 is a wasteful number, since it uses less digits than its factorization.

14766864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 14766864 is about 3842.7677525450. The cubic root of 14766864 is about 245.3368350424.

The spelling of 14766864 in words is "fourteen million, seven hundred sixty-six thousand, eight hundred sixty-four".