1161680 has 40 divisors (see below), whose sum is σ = 2911272. Its totient is φ = 428544.

The previous prime is 1161659. The next prime is 1161683. The reversal of 1161680 is 861611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 1132096 = 172^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161683) 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, 482 + ... + 1598.

2^1161680 is an apocalyptic number.

1161680 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 1161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455636).

1161680 is an abundant number, since it is smaller than the sum of its proper divisors (1749592).

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

1161680 is a wasteful number, since it uses less digits than its factorization.

1161680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1161680 is about 1077.8125996666. The cubic root of 1161680 is about 105.1224572787.

The spelling of 1161680 in words is "one million, one hundred sixty-one thousand, six hundred eighty".