13277040 has 120 divisors (see below), whose sum is σ = 47921040. Its totient is φ = 3032064.

The previous prime is 13277027. The next prime is 13277053. The reversal of 13277040 is 4077231.

13277040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13277027) and next prime (13277053).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13277040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11196 + ... + 12324.

It is an arithmetic number, because the mean of its divisors is an integer number (399342).

Almost surely, 2^13277040 is an apocalyptic number.

13277040 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 13277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23960520).

13277040 is an abundant number, since it is smaller than the sum of its proper divisors (34644000).

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

13277040 is a wasteful number, since it uses less digits than its factorization.

13277040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13277040 is about 3643.7672812626. The cubic root of 13277040 is about 236.7920339115.

The spelling of 13277040 in words is "thirteen million, two hundred seventy-seven thousand, forty".