973960064 has 192 divisors, whose sum is σ = 2595369600. Its totient is φ = 359009280.

The previous prime is 973960063. The next prime is 973960067. The reversal of 973960064 is 460069379.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 973959997 and 973960024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973960061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1310477 + ... + 1311219.

It is an arithmetic number, because the mean of its divisors is an integer number (13517550).

Almost surely, 2^973960064 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 973960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297684800).

973960064 is an abundant number, since it is smaller than the sum of its proper divisors (1621409536).

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

973960064 is a wasteful number, since it uses less digits than its factorization.

973960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 973960064 is about 31208.3332461059. Note that the first 3 decimals coincide. The cubic root of 973960064 is about 991.2435700681.

The spelling of 973960064 in words is "nine hundred seventy-three million, nine hundred sixty thousand, sixty-four".