1217680 has 40 divisors (see below), whose sum is σ = 2928384. Its totient is φ = 470400.

The previous prime is 1217677. The next prime is 1217683. The reversal of 1217680 is 867121.

It is an interprime number because it is at equal distance from previous prime (1217677) and next prime (1217683).

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

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1217683) 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, 2235 + ... + 2725.

2^1217680 is an apocalyptic number.

1217680 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 1217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464192).

1217680 is an abundant number, since it is smaller than the sum of its proper divisors (1710704).

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

1217680 is a wasteful number, since it uses less digits than its factorization.

1217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1217680 is about 1103.4853873070. The cubic root of 1217680 is about 106.7851980964.

The spelling of 1217680 in words is "one million, two hundred seventeen thousand, six hundred eighty".