973968 has 40 divisors (see below), whose sum is σ = 2553408. Its totient is φ = 319872.

The previous prime is 973957. The next prime is 974003. The reversal of 973968 is 869379.

It is a happy number.

973968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×973968² = 1897227330048, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4846 + ... + 5042.

2⁹⁷³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276704).

973968 is an abundant number, since it is smaller than the sum of its proper divisors (1579440).

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

973968 is a wasteful number, since it uses less digits than its factorization.

973968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 973968 is about 986.8981710389. The cubic root of 973968 is about 99.1246262337.

The spelling of 973968 in words is "nine hundred seventy-three thousand, nine hundred sixty-eight".