973920 has 48 divisors (see below), whose sum is σ = 3069360. Its totient is φ = 259584.

The previous prime is 973919. The next prime is 973957. The reversal of 973920 is 29379.

973920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 973920.

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, 535 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (63945).

2⁹⁷³⁹²⁰ is an apocalyptic number.

It is an amenable number.

973920 is an abundant number, since it is smaller than the sum of its proper divisors (2095440).

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

973920 is a wasteful number, since it uses less digits than its factorization.

973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 973920 is about 986.8738521209. The cubic root of 973920 is about 99.1229978229.

The spelling of 973920 in words is "nine hundred seventy-three thousand, nine hundred twenty".