973680 has 40 divisors (see below), whose sum is σ = 3019152. Its totient is φ = 259584.

The previous prime is 973669. The next prime is 973681. The reversal of 973680 is 86379.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973680.

It is not an unprimeable number, because it can be changed into a prime (973681) by changing a digit.

973680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 2268.

2⁹⁷³⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

973680 is an abundant number, since it is smaller than the sum of its proper divisors (2045472).

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

973680 is a wasteful number, since it uses less digits than its factorization.

973680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 973680 is about 986.7522485406. The cubic root of 973680 is about 99.1148549659.

It can be divided in two parts, 973 and 680, that added together give a triangular number (1653 = T₅₇).

The spelling of 973680 in words is "nine hundred seventy-three thousand, six hundred eighty".