973193760 has 576 divisors, whose sum is σ = 4234374144. Its totient is φ = 197683200.

The previous prime is 973193743. The next prime is 973193777. The reversal of 973193760 is 67391379.

It is an interprime number because it is at equal distance from previous prime (973193743) and next prime (973193777).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7428895 + ... + 7429025.

It is an arithmetic number, because the mean of its divisors is an integer number (7351344).

Almost surely, 2^973193760 is an apocalyptic number.

973193760 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 973193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117187072).

973193760 is an abundant number, since it is smaller than the sum of its proper divisors (3261180384).

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

973193760 is a wasteful number, since it uses less digits than its factorization.

973193760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 973193760 is about 31196.0535965689. The cubic root of 973193760 is about 990.9835343500.

The spelling of 973193760 in words is "nine hundred seventy-three million, one hundred ninety-three thousand, seven hundred sixty".