14146880 has 56 divisors (see below), whose sum is σ = 36758880. Its totient is φ = 5143040.

The previous prime is 14146877. The next prime is 14146883. The reversal of 14146880 is 8864141.

It is an interprime number because it is at equal distance from previous prime (14146877) and next prime (14146883).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146883) 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 7 ways as a sum of consecutive naturals, for example, 1511 + ... + 5529.

Almost surely, 2^14146880 is an apocalyptic number.

14146880 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 14146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379440).

14146880 is an abundant number, since it is smaller than the sum of its proper divisors (22612000).

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

14146880 is a wasteful number, since it uses less digits than its factorization.

14146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 14146880 is about 3761.2338401115. The cubic root of 14146880 is about 241.8541570530.

The spelling of 14146880 in words is "fourteen million, one hundred forty-six thousand, eight hundred eighty".