13953420 has 144 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 3345408.

The previous prime is 13953383. The next prime is 13953427. The reversal of 13953420 is 2435931.

13953420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13953427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156736 + ... + 156824.

It is an arithmetic number, because the mean of its divisors is an integer number (324870).

Almost surely, 2^13953420 is an apocalyptic number.

13953420 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 13953420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

13953420 is an abundant number, since it is smaller than the sum of its proper divisors (32827860).

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

13953420 is a wasteful number, since it uses less digits than its factorization.

13953420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13953420 is about 3735.4276863567. The cubic root of 13953420 is about 240.7466331701.

The spelling of 13953420 in words is "thirteen million, nine hundred fifty-three thousand, four hundred twenty".