14664400 has 60 divisors (see below), whose sum is σ = 35868364. Its totient is φ = 5760000.

The previous prime is 14664389. The next prime is 14664413. The reversal of 14664400 is 446641.

It can be written as a sum of positive squares in 6 ways, for example, as 944784 + 13719616 = 972^2 + 3704^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 24100 + ... + 24700.

Almost surely, 2^14664400 is an apocalyptic number.

14664400 is a gapful number since it is divisible by the number (10) 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 14664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17934182).

14664400 is an abundant number, since it is smaller than the sum of its proper divisors (21203964).

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

14664400 is a wasteful number, since it uses less digits than its factorization.

14664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 14664400 is about 3829.4124875756. The cubic root of 14664400 is about 244.7680715047.

It can be divided in two parts, 146 and 64400, that added together give a palindrome (64546).

The spelling of 14664400 in words is "fourteen million, six hundred sixty-four thousand, four hundred".