13471920 has 320 divisors, whose sum is σ = 58567680. Its totient is φ = 2799360.

The previous prime is 13471919. The next prime is 13471967. The reversal of 13471920 is 2917431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224715 + ... + 1224725.

It is an arithmetic number, because the mean of its divisors is an integer number (183024).

Almost surely, 2^13471920 is an apocalyptic number.

13471920 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 13471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29283840).

13471920 is an abundant number, since it is smaller than the sum of its proper divisors (45095760).

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

13471920 is an equidigital number, since it uses as much as digits as its factorization.

13471920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13471920 is about 3670.4114210807. The cubic root of 13471920 is about 237.9449534912.

The spelling of 13471920 in words is "thirteen million, four hundred seventy-one thousand, nine hundred twenty".