13673940 has 72 divisors (see below), whose sum is σ = 44547552. Its totient is φ = 3124800.

The previous prime is 13673929. The next prime is 13673953. The reversal of 13673940 is 4937631.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (618716).

Almost surely, 2^13673940 is an apocalyptic number.

13673940 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 13673940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273776).

13673940 is an abundant number, since it is smaller than the sum of its proper divisors (30873612).

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

13673940 is a wasteful number, since it uses less digits than its factorization.

13673940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13673940 is about 3697.8290928598. The cubic root of 13673940 is about 239.1284359541.

The spelling of 13673940 in words is "thirteen million, six hundred seventy-three thousand, nine hundred forty".