1167424 has 56 divisors (see below), whose sum is σ = 2606040. Its totient is φ = 516096.

The previous prime is 1167421. The next prime is 1167443. The reversal of 1167424 is 4247611.

It can be written as a sum of positive squares in 4 ways, for example, as 577600 + 589824 = 760^2 + 768^2 .

It is not an unprimeable number, because it can be changed into a prime (1167421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31534 + ... + 31570.

2^1167424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303020).

1167424 is an abundant number, since it is smaller than the sum of its proper divisors (1438616).

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

1167424 is a wasteful number, since it uses less digits than its factorization.

1167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 1167424 is about 1080.4739700705. The cubic root of 1167424 is about 105.2954340322.

It can be divided in two parts, 116 and 7424, that multiplied together give a square (861184 = 928²).

The spelling of 1167424 in words is "one million, one hundred sixty-seven thousand, four hundred twenty-four".