14377968 has 120 divisors (see below), whose sum is σ = 45555120. Its totient is φ = 4193280.

The previous prime is 14377963. The next prime is 14377969. The reversal of 14377968 is 86977341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14377963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45780 + ... + 46092.

It is an arithmetic number, because the mean of its divisors is an integer number (379626).

Almost surely, 2^14377968 is an apocalyptic number.

14377968 is a gapful number since it is divisible by the number (18) 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 14377968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22777560).

14377968 is an abundant number, since it is smaller than the sum of its proper divisors (31177152).

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

14377968 is a wasteful number, since it uses less digits than its factorization.

14377968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 14377968 is about 3791.8291100734. The cubic root of 14377968 is about 243.1639395692.

The spelling of 14377968 in words is "fourteen million, three hundred seventy-seven thousand, nine hundred sixty-eight".