973896000 has 896 divisors, whose sum is σ = 4382097408. Its totient is φ = 184320000.

The previous prime is 973895999. The next prime is 973896023. The reversal of 973896000 is 698379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31415985 + ... + 31416015.

Almost surely, 2^973896000 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 973896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191048704).

973896000 is an abundant number, since it is smaller than the sum of its proper divisors (3408201408).

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

973896000 is a wasteful number, since it uses less digits than its factorization.

973896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 973896000 is about 31207.3068367009. The cubic root of 973896000 is about 991.2218359735.

The spelling of 973896000 in words is "nine hundred seventy-three million, eight hundred ninety-six thousand".