1163680 has 48 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 398592.

The previous prime is 1163671. The next prime is 1163689. The reversal of 1163680 is 863611.

It is an interprime number because it is at equal distance from previous prime (1163671) and next prime (1163689).

It is a super-2 number, since 2×1163680² = 2708302284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1163689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^1163680 is an apocalyptic number.

1163680 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 1163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1163680 is an abundant number, since it is smaller than the sum of its proper divisors (1981280).

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

1163680 is a wasteful number, since it uses less digits than its factorization.

1163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1163680 is about 1078.7400057474. The cubic root of 1163680 is about 105.1827505247.

The spelling of 1163680 in words is "one million, one hundred sixty-three thousand, six hundred eighty".