14117760 has 256 divisors, whose sum is σ = 53856000. Its totient is φ = 3483648.

The previous prime is 14117759. The next prime is 14117773. The reversal of 14117760 is 6771141.

14117760 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 a super-2 number, since 2×14117760² = 398622294835200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328299 + ... + 328341.

It is an arithmetic number, because the mean of its divisors is an integer number (210375).

Almost surely, 2^14117760 is an apocalyptic number.

14117760 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 14117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928000).

14117760 is an abundant number, since it is smaller than the sum of its proper divisors (39738240).

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

14117760 is a wasteful number, since it uses less digits than its factorization.

14117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 14117760 is about 3757.3607758638. The cubic root of 14117760 is about 241.6880985089.

The spelling of 14117760 in words is "fourteen million, one hundred seventeen thousand, seven hundred sixty".