1278432 has 72 divisors (see below), whose sum is σ = 3813264. Its totient is φ = 405504.

The previous prime is 1278419. The next prime is 1278437. The reversal of 1278432 is 2348721.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1278396 and 1278405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6528 + ... + 6720.

It is an arithmetic number, because the mean of its divisors is an integer number (52962).

2^1278432 is an apocalyptic number.

1278432 is a gapful number since it is divisible by the number (12) 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 1278432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906632).

1278432 is an abundant number, since it is smaller than the sum of its proper divisors (2534832).

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

1278432 is a wasteful number, since it uses less digits than its factorization.

1278432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1278432 is about 1130.6776729024. The cubic root of 1278432 is about 108.5323510601.

The spelling of 1278432 in words is "one million, two hundred seventy-eight thousand, four hundred thirty-two".