973648 has 40 divisors (see below), whose sum is σ = 2110976. Its totient is φ = 432000.

The previous prime is 973631. The next prime is 973657. The reversal of 973648 is 846379.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

973648 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 6373 + ... + 6523.

2⁹⁷³⁶⁴⁸ 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 973648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055488).

973648 is an abundant number, since it is smaller than the sum of its proper divisors (1137328).

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

973648 is a wasteful number, since it uses less digits than its factorization.

973648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 973648 is about 986.7360335976. The cubic root of 973648 is about 99.1137691505.

The spelling of 973648 in words is "nine hundred seventy-three thousand, six hundred forty-eight".