1172320 has 48 divisors (see below), whose sum is σ = 2939328. Its totient is φ = 440320.

The previous prime is 1172317. The next prime is 1172329. The reversal of 1172320 is 232711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1172294 and 1172303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172329) 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, 2505 + ... + 2935.

It is an arithmetic number, because the mean of its divisors is an integer number (61236).

2^1172320 is an apocalyptic number.

1172320 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 1172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664).

1172320 is an abundant number, since it is smaller than the sum of its proper divisors (1767008).

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

1172320 is a wasteful number, since it uses less digits than its factorization.

1172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1172320 is about 1082.7372719178. The cubic root of 1172320 is about 105.4424264530.

The spelling of 1172320 in words is "one million, one hundred seventy-two thousand, three hundred twenty".