13953720 has 144 divisors (see below), whose sum is σ = 47544840. Its totient is φ = 3273600.

The previous prime is 13953713. The next prime is 13953721. The reversal of 13953720 is 2735931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13953721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450105 + ... + 450135.

Almost surely, 2^13953720 is an apocalyptic number.

13953720 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 13953720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23772420).

13953720 is an abundant number, since it is smaller than the sum of its proper divisors (33591120).

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

13953720 is a wasteful number, since it uses less digits than its factorization.

13953720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13953720 is about 3735.4678421852. The cubic root of 13953720 is about 240.7483585171.

Multiplying 13953720 by its sum of digits (30), we get a square (418611600 = 20460²).

13953720 divided by its sum of digits (30) gives a square (465124 = 682²).

It can be divided in two parts, 1395 and 3720, that added together give a palindrome (5115).

The spelling of 13953720 in words is "thirteen million, nine hundred fifty-three thousand, seven hundred twenty".