973296000 has 320 divisors, whose sum is σ = 3619661760. Its totient is φ = 259200000.

The previous prime is 973295993. The next prime is 973296001. The reversal of 973296000 is 692379.

It is a tau number, because it is divible by the number of its divisors (320).

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 (973296001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1295625 + ... + 1296375.

It is an arithmetic number, because the mean of its divisors is an integer number (11311443).

Almost surely, 2^973296000 is an apocalyptic number.

973296000 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 973296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809830880).

973296000 is an abundant number, since it is smaller than the sum of its proper divisors (2646365760).

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

973296000 is an equidigital number, since it uses as much as digits as its factorization.

973296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 973296000 is about 31197.6922223423. The cubic root of 973296000 is about 991.0182361100.

The spelling of 973296000 in words is "nine hundred seventy-three million, two hundred ninety-six thousand".