14378364 has 288 divisors, whose sum is σ = 53625600. Its totient is φ = 3265920.

The previous prime is 14378363. The next prime is 14378387. The reversal of 14378364 is 46387341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14378363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756747 + ... + 756765.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 2^14378364 is an apocalyptic number.

14378364 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 14378364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

14378364 is an abundant number, since it is smaller than the sum of its proper divisors (39247236).

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

14378364 is a wasteful number, since it uses less digits than its factorization.

14378364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 14378364 is about 3791.8813272570. The cubic root of 14378364 is about 243.1661719670.

It can be divided in two parts, 1437 and 8364, that added together give a square (9801 = 99²).

The spelling of 14378364 in words is "fourteen million, three hundred seventy-eight thousand, three hundred sixty-four".