14540064 has 144 divisors (see below), whose sum is σ = 48607776. Its totient is φ = 3763200.

The previous prime is 14540059. The next prime is 14540069. The reversal of 14540064 is 46004541.

14540064 = T₄₉₅ + T₄₉₆ + ... + T₅₉₂.

It is an interprime number because it is at equal distance from previous prime (14540059) and next prime (14540069).

It is a super-2 number, since 2×14540064² = 422826922248192, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14540069) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51604 + ... + 51884.

It is an arithmetic number, because the mean of its divisors is an integer number (337554).

Almost surely, 2^14540064 is an apocalyptic number.

14540064 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 14540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303888).

14540064 is an abundant number, since it is smaller than the sum of its proper divisors (34067712).

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

14540064 is a wasteful number, since it uses less digits than its factorization.

14540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14540064 is about 3813.1435850227. The cubic root of 14540064 is about 244.0743301269.

The spelling of 14540064 in words is "fourteen million, five hundred forty thousand, sixty-four".