973380600 has 144 divisors (see below), whose sum is σ = 3277937520. Its totient is φ = 258854400.

The previous prime is 973380589. The next prime is 973380607. The reversal of 973380600 is 6083379.

973380600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973380607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1135372 + ... + 1136228.

It is an arithmetic number, because the mean of its divisors is an integer number (22763455).

Almost surely, 2^973380600 is an apocalyptic number.

973380600 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 973380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638968760).

973380600 is an abundant number, since it is smaller than the sum of its proper divisors (2304556920).

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

973380600 is a wasteful number, since it uses less digits than its factorization.

973380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 973380600 is about 31199.0480624009. The cubic root of 973380600 is about 991.0469487571.

The spelling of 973380600 in words is "nine hundred seventy-three million, three hundred eighty thousand, six hundred".