973760 has 56 divisors (see below), whose sum is σ = 2468880. Its totient is φ = 364544.

The previous prime is 973759. The next prime is 973781. The reversal of 973760 is 67379.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5351 + ... + 5529.

2⁹⁷³⁷⁶⁰ 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 973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234440).

973760 is an abundant number, since it is smaller than the sum of its proper divisors (1495120).

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

973760 is a wasteful number, since it uses less digits than its factorization.

973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 973760 is about 986.7927847324. The cubic root of 973760 is about 99.1175694002.

The spelling of 973760 in words is "nine hundred seventy-three thousand, seven hundred sixty".