13672540 has 48 divisors (see below), whose sum is σ = 33372864. Its totient is φ = 4608000.

The previous prime is 13672537. The next prime is 13672553. The reversal of 13672540 is 4527631.

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 = 13672499 and 13672508.

It is a congruent number.

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, 7740 + ... + 9340.

It is an arithmetic number, because the mean of its divisors is an integer number (695268).

Almost surely, 2^13672540 is an apocalyptic number.

13672540 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 13672540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686432).

13672540 is an abundant number, since it is smaller than the sum of its proper divisors (19700324).

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

13672540 is a wasteful number, since it uses less digits than its factorization.

13672540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 13672540 is about 3697.6397877565. The cubic root of 13672540 is about 239.1202746576.

The spelling of 13672540 in words is "thirteen million, six hundred seventy-two thousand, five hundred forty".