973980 has 72 divisors (see below), whose sum is σ = 3380832. Its totient is φ = 222336.

The previous prime is 973957. The next prime is 974003. The reversal of 973980 is 89379.

It is an interprime number because it is at equal distance from previous prime (973957) and next prime (974003).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 973980.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (46956).

2⁹⁷³⁹⁸⁰ is an apocalyptic number.

973980 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 973980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690416).

973980 is an abundant number, since it is smaller than the sum of its proper divisors (2406852).

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

973980 is a wasteful number, since it uses less digits than its factorization.

973980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 973980 is about 986.9042506748. The cubic root of 973980 is about 99.1250333281.

It can be divided in two parts, 973 and 980, that added together give a triangular number (1953 = T₆₂).

The spelling of 973980 in words is "nine hundred seventy-three thousand, nine hundred eighty".