1201680 has 60 divisors (see below), whose sum is σ = 4038060. Its totient is φ = 320256.

The previous prime is 1201643. The next prime is 1201687. The reversal of 1201680 is 861021.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 665856 = 732^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1201687) 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 11 ways as a sum of consecutive naturals, for example, 115 + ... + 1554.

It is an arithmetic number, because the mean of its divisors is an integer number (67301).

2^1201680 is an apocalyptic number.

1201680 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 1201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019030).

1201680 is an abundant number, since it is smaller than the sum of its proper divisors (2836380).

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

1201680 is a wasteful number, since it uses less digits than its factorization.

1201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1201680 is about 1096.2116583945. The cubic root of 1201680 is about 106.3154245271.

It can be divided in two parts, 1201 and 680, that added together give a palindrome (1881).

The spelling of 1201680 in words is "one million, two hundred one thousand, six hundred eighty".