12774240 has 96 divisors (see below), whose sum is σ = 44724960. Its totient is φ = 3405312.

The previous prime is 12774233. The next prime is 12774241. The reversal of 12774240 is 4247721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3 and base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12774241) by changing a digit.

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, 2842 + ... + 5798.

It is an arithmetic number, because the mean of its divisors is an integer number (465885).

Almost surely, 2^12774240 is an apocalyptic number.

12774240 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 12774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362480).

12774240 is an abundant number, since it is smaller than the sum of its proper divisors (31950720).

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

12774240 is a wasteful number, since it uses less digits than its factorization.

12774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 12774240 is about 3574.1068814460. The cubic root of 12774240 is about 233.7643913852.

The spelling of 12774240 in words is "twelve million, seven hundred seventy-four thousand, two hundred forty".