973304640 has 1008 divisors, whose sum is σ = 4621377600. Its totient is φ = 191600640.

The previous prime is 973304611. The next prime is 973304681. The reversal of 973304640 is 46403379.

973304640 is a `hidden beast` number, since 9 + 7 + 3 + 3 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 973304595 and 973304604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226551 + ... + 51226569.

It is an arithmetic number, because the mean of its divisors is an integer number (4584700).

Almost surely, 2^973304640 is an apocalyptic number.

973304640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310688800).

973304640 is an abundant number, since it is smaller than the sum of its proper divisors (3648072960).

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

973304640 is a wasteful number, since it uses less digits than its factorization.

973304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 973304640 is about 31197.8306938159. The cubic root of 973304640 is about 991.0211685417.

The spelling of 973304640 in words is "nine hundred seventy-three million, three hundred four thousand, six hundred forty".