13935456 has 72 divisors (see below), whose sum is σ = 40967640. Its totient is φ = 4608576.

The previous prime is 13935443. The next prime is 13935469. The reversal of 13935456 is 65453931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (13935443) and next prime (13935469).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13935456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109665 + ... + 109791.

It is an arithmetic number, because the mean of its divisors is an integer number (568995).

Almost surely, 2^13935456 is an apocalyptic number.

13935456 is a gapful number since it is divisible by the number (16) 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 13935456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20483820).

13935456 is an abundant number, since it is smaller than the sum of its proper divisors (27032184).

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

13935456 is an equidigital number, since it uses as much as digits as its factorization.

13935456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 132 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 13935456 is about 3733.0223680016. The cubic root of 13935456 is about 240.6432742854.

Multiplying 13935456 by its product of digits (48600), we get a square (677263161600 = 822960²).

The spelling of 13935456 in words is "thirteen million, nine hundred thirty-five thousand, four hundred fifty-six".