973080 has 128 divisors (see below), whose sum is σ = 3499200. Its totient is φ = 239616.

The previous prime is 973073. The next prime is 973081. The reversal of 973080 is 80379.

973080 = T₄₅ + T₄₆ + ... + T₁₈₀.

It is a happy number.

973080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18334 + ... + 18386.

2⁹⁷³⁰⁸⁰ is an apocalyptic number.

973080 is a gapful number since it is divisible by the number (90) 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 973080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749600).

973080 is an abundant number, since it is smaller than the sum of its proper divisors (2526120).

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

973080 is a wasteful number, since it uses less digits than its factorization.

973080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 973080 is about 986.4481740061. The cubic root of 973080 is about 99.0944919676.

The spelling of 973080 in words is "nine hundred seventy-three thousand, eighty".