13533940 has 24 divisors (see below), whose sum is σ = 32481792. Its totient is φ = 4640160.

The previous prime is 13533929. The next prime is 13533973. The reversal of 13533940 is 4933531.

13533940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13533899 and 13533908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48196 + ... + 48475.

It is an arithmetic number, because the mean of its divisors is an integer number (1353408).

Almost surely, 2^13533940 is an apocalyptic number.

13533940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13533940 is an abundant number, since it is smaller than the sum of its proper divisors (18947852).

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

13533940 is a wasteful number, since it uses less digits than its factorization.

13533940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96687 (or 96685 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 13533940 is about 3678.8503639045. The cubic root of 13533940 is about 238.3095329986.

The spelling of 13533940 in words is "thirteen million, five hundred thirty-three thousand, nine hundred forty".