14078880 has 96 divisors (see below), whose sum is σ = 49291200. Its totient is φ = 3753216.

The previous prime is 14078879. The next prime is 14078881. The reversal of 14078880 is 8887041.

14078880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14078879) and next prime (14078881).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (14078881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691 + ... + 5949.

It is an arithmetic number, because the mean of its divisors is an integer number (513450).

Almost surely, 2^14078880 is an apocalyptic number.

14078880 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 14078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645600).

14078880 is an abundant number, since it is smaller than the sum of its proper divisors (35212320).

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

14078880 is a wasteful number, since it uses less digits than its factorization.

14078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 14078880 is about 3752.1833643893. The cubic root of 14078880 is about 241.4660266241.

The spelling of 14078880 in words is "fourteen million, seventy-eight thousand, eight hundred eighty".