13791120 has 80 divisors (see below), whose sum is σ = 48865920. Its totient is φ = 3151872.

The previous prime is 13791119. The next prime is 13791133. The reversal of 13791120 is 2119731.

13791120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2425 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (610824).

Almost surely, 2^13791120 is an apocalyptic number.

13791120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13791120 is an abundant number, since it is smaller than the sum of its proper divisors (35074800).

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

13791120 is a wasteful number, since it uses less digits than its factorization.

13791120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8232 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 13791120 is about 3713.6397240443. The cubic root of 13791120 is about 239.8095711658.

The spelling of 13791120 in words is "thirteen million, seven hundred ninety-one thousand, one hundred twenty".