1207680 has 128 divisors (see below), whose sum is σ = 4186080. Its totient is φ = 294912.

The previous prime is 1207649. The next prime is 1207681. The reversal of 1207680 is 867021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 1207680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32622 + ... + 32658.

2^1207680 is an apocalyptic number.

1207680 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 1207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093040).

1207680 is an abundant number, since it is smaller than the sum of its proper divisors (2978400).

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

1207680 is a wasteful number, since it uses less digits than its factorization.

1207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1207680 is about 1098.9449485757. The cubic root of 1207680 is about 106.4920754976.

It can be divided in two parts, 120 and 7680, that multiplied together give a square (921600 = 960²).

The spelling of 1207680 in words is "one million, two hundred seven thousand, six hundred eighty".