13465920 has 168 divisors, whose sum is σ = 46853856. Its totient is φ = 3274752.

The previous prime is 13465913. The next prime is 13465939. The reversal of 13465920 is 2956431.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162199 + ... + 162281.

It is an arithmetic number, because the mean of its divisors is an integer number (278892).

Almost surely, 2^13465920 is an apocalyptic number.

13465920 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 13465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426928).

13465920 is an abundant number, since it is smaller than the sum of its proper divisors (33387936).

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

13465920 is a wasteful number, since it uses less digits than its factorization.

13465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13465920 is about 3669.5939829905. The cubic root of 13465920 is about 237.9096236664.

The spelling of 13465920 in words is "thirteen million, four hundred sixty-five thousand, nine hundred twenty".