973640 has 32 divisors (see below), whose sum is σ = 2221560. Its totient is φ = 384000.

The previous prime is 973631. The next prime is 973657. The reversal of 973640 is 46379.

It can be written as a sum of positive squares in 4 ways, for example, as 972196 + 1444 = 986^2 + 38^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973640.

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, 3920 + ... + 4160.

2⁹⁷³⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

973640 is an abundant number, since it is smaller than the sum of its proper divisors (1247920).

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

973640 is a wasteful number, since it uses less digits than its factorization.

973640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 973640 is about 986.7319798203. The cubic root of 973640 is about 99.1134976929.

The spelling of 973640 in words is "nine hundred seventy-three thousand, six hundred forty".