13414968 has 96 divisors (see below), whose sum is σ = 42556800. Its totient is φ = 3737664.

The previous prime is 13414963. The next prime is 13414981. The reversal of 13414968 is 86941431.

It is a super-2 number, since 2×13414968² = 359922732882048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21363 + ... + 21981.

It is an arithmetic number, because the mean of its divisors is an integer number (443300).

Almost surely, 2^13414968 is an apocalyptic number.

13414968 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 13414968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278400).

13414968 is an abundant number, since it is smaller than the sum of its proper divisors (29141832).

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

13414968 is a wasteful number, since it uses less digits than its factorization.

13414968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13414968 is about 3662.6449459373. The cubic root of 13414968 is about 237.6091789808.

The spelling of 13414968 in words is "thirteen million, four hundred fourteen thousand, nine hundred sixty-eight".