13363920 has 160 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 3396096.

The previous prime is 13363907. The next prime is 13363957. The reversal of 13363920 is 2936331.

13363920 = T₁₇₁ + T₁₇₂ + ... + T₄₃₉.

13363920 is a `hidden beast` number, since 1 + 3 + 3 + 639 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49546 + ... + 49814.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^13363920 is an apocalyptic number.

13363920 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 13363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

13363920 is an abundant number, since it is smaller than the sum of its proper divisors (34847280).

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

13363920 is a wasteful number, since it uses less digits than its factorization.

13363920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 13363920 is about 3655.6695693129. The cubic root of 13363920 is about 237.3074043409.

The spelling of 13363920 in words is "thirteen million, three hundred sixty-three thousand, nine hundred twenty".