13951968 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 4282368.

The previous prime is 13951957. The next prime is 13951969. The reversal of 13951968 is 86915931.

13951968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13951968² = 389314822146048, which contains 22 as substring.

Its product of digits (58320) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13951969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135405 + ... + 135507.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^13951968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

13951968 is an abundant number, since it is smaller than the sum of its proper divisors (25674528).

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

13951968 is a wasteful number, since it uses less digits than its factorization.

13951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 13951968 is about 3735.2333260454. The cubic root of 13951968 is about 240.7382821413.

The spelling of 13951968 in words is "thirteen million, nine hundred fifty-one thousand, nine hundred sixty-eight".