13345920 has 192 divisors, whose sum is σ = 52827840. Its totient is φ = 3041280.

The previous prime is 13345889. The next prime is 13345987. The reversal of 13345920 is 2954331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13345920² = 356227161292800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40155 + ... + 40485.

It is an arithmetic number, because the mean of its divisors is an integer number (275145).

Almost surely, 2^13345920 is an apocalyptic number.

13345920 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 13345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26413920).

13345920 is an abundant number, since it is smaller than the sum of its proper divisors (39481920).

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

13345920 is a wasteful number, since it uses less digits than its factorization.

13345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

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

The square root of 13345920 is about 3653.2068104612. The cubic root of 13345920 is about 237.2008125499.

The spelling of 13345920 in words is "thirteen million, three hundred forty-five thousand, nine hundred twenty".