973271040 has 416 divisors, whose sum is σ = 3724087296. Its totient is φ = 212336640.

The previous prime is 973271027. The next prime is 973271041. The reversal of 973271040 is 40172379.

It is a junction number, because it is equal to n+sod(n) for n = 973270992 and 973271010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973271041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13332444 + ... + 13332516.

Almost surely, 2^973271040 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 973271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862043648).

973271040 is an abundant number, since it is smaller than the sum of its proper divisors (2750816256).

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

973271040 is a wasteful number, since it uses less digits than its factorization.

973271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 973271040 is about 31197.2921901886. The cubic root of 973271040 is about 991.0097645430.

The spelling of 973271040 in words is "nine hundred seventy-three million, two hundred seventy-one thousand, forty".