13776240 has 80 divisors (see below), whose sum is σ = 43452576. Its totient is φ = 3609600.

The previous prime is 13776229. The next prime is 13776251. The reversal of 13776240 is 4267731.

It is an interprime number because it is at equal distance from previous prime (13776229) and next prime (13776251).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 13776198 and 13776207.

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 15 ways as a sum of consecutive naturals, for example, 14170 + ... + 15110.

Almost surely, 2^13776240 is an apocalyptic number.

13776240 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 13776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726288).

13776240 is an abundant number, since it is smaller than the sum of its proper divisors (29676336).

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

13776240 is a wasteful number, since it uses less digits than its factorization.

13776240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 13776240 is about 3711.6357579913. The cubic root of 13776240 is about 239.7232922037.

The spelling of 13776240 in words is "thirteen million, seven hundred seventy-six thousand, two hundred forty".