13777040 has 20 divisors (see below), whose sum is σ = 32031804. Its totient is φ = 5510784.

The previous prime is 13777039. The next prime is 13777067. The reversal of 13777040 is 4077731.

It can be written as a sum of positive squares in 2 ways, for example, as 7862416 + 5914624 = 2804^2 + 2432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13776994 and 13777012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86027 + ... + 86186.

Almost surely, 2^13777040 is an apocalyptic number.

13777040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13777040 is an abundant number, since it is smaller than the sum of its proper divisors (18254764).

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

13777040 is a wasteful number, since it uses less digits than its factorization.

13777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172226 (or 172220 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 13777040 is about 3711.7435256224. The cubic root of 13777040 is about 239.7279324375.

It can be divided in two parts, 137 and 77040, that added together give a palindrome (77177).

The spelling of 13777040 in words is "thirteen million, seven hundred seventy-seven thousand, forty".