14276640 has 144 divisors (see below), whose sum is σ = 52399872. Its totient is φ = 3257856.

The previous prime is 14276611. The next prime is 14276659. The reversal of 14276640 is 4667241.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14276598 and 14276607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23217 + ... + 23823.

It is an arithmetic number, because the mean of its divisors is an integer number (363888).

Almost surely, 2^14276640 is an apocalyptic number.

14276640 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 14276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26199936).

14276640 is an abundant number, since it is smaller than the sum of its proper divisors (38123232).

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

14276640 is a wasteful number, since it uses less digits than its factorization.

14276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14276640 is about 3778.4441242395. Note that the first 3 decimals coincide. The cubic root of 14276640 is about 242.5913638802.

The spelling of 14276640 in words is "fourteen million, two hundred seventy-six thousand, six hundred forty".