13954820 has 48 divisors (see below), whose sum is σ = 32272128. Its totient is φ = 5026560.

The previous prime is 13954819. The next prime is 13954823. The reversal of 13954820 is 2845931.

13954820 is digitally balanced in base 2, because in such base 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 (13954823) 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, 29909 + ... + 30371.

It is an arithmetic number, because the mean of its divisors is an integer number (672336).

Almost surely, 2^13954820 is an apocalyptic number.

13954820 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 13954820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136064).

13954820 is an abundant number, since it is smaller than the sum of its proper divisors (18317308).

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

13954820 is a wasteful number, since it uses less digits than its factorization.

13954820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 13954820 is about 3735.6150765302. The cubic root of 13954820 is about 240.7546845777.

Subtracting from 13954820 its reverse (2845931), we obtain a square (11108889 = 3333²).

The spelling of 13954820 in words is "thirteen million, nine hundred fifty-four thousand, eight hundred twenty".