14407680 has 192 divisors, whose sum is σ = 53464320. Its totient is φ = 3244032.

The previous prime is 14407669. The next prime is 14407699. The reversal of 14407680 is 8670441.

It is a tau number, because it is divible by the number of its divisors (192).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215007 + ... + 215073.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 2^14407680 is an apocalyptic number.

14407680 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 14407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

14407680 is an abundant number, since it is smaller than the sum of its proper divisors (39056640).

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

14407680 is an equidigital number, since it uses as much as digits as its factorization.

14407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 14407680 is about 3795.7449861654. The cubic root of 14407680 is about 243.3313233503.

The spelling of 14407680 in words is "fourteen million, four hundred seven thousand, six hundred eighty".