13669920 has 144 divisors (see below), whose sum is σ = 50948352. Its totient is φ = 3310080.

The previous prime is 13669897. The next prime is 13669927. The reversal of 13669920 is 2996631.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13669927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15409 + ... + 16271.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^13669920 is an apocalyptic number.

13669920 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 13669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

13669920 is an abundant number, since it is smaller than the sum of its proper divisors (37278432).

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

13669920 is a wasteful number, since it uses less digits than its factorization.

13669920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13669920 is about 3697.2854907351. The cubic root of 13669920 is about 239.1049998771.

Subtracting from 13669920 its reverse (2996631), we obtain a square (10673289 = 3267²).

The spelling of 13669920 in words is "thirteen million, six hundred sixty-nine thousand, nine hundred twenty".