1172880 has 100 divisors (see below), whose sum is σ = 4096092. Its totient is φ = 311040.

The previous prime is 1172867. The next prime is 1172893. The reversal of 1172880 is 882711.

It is an interprime number because it is at equal distance from previous prime (1172867) and next prime (1172893).

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 1016064 = 396^2 + 1008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6390 + ... + 6570.

2^1172880 is an apocalyptic number.

1172880 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 1172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048046).

1172880 is an abundant number, since it is smaller than the sum of its proper divisors (2923212).

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

1172880 is a wasteful number, since it uses less digits than its factorization.

1172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1172880 is about 1082.9958448674. The cubic root of 1172880 is about 105.4592132118.

The spelling of 1172880 in words is "one million, one hundred seventy-two thousand, eight hundred eighty".