973232640 has 240 divisors, whose sum is σ = 3438483048. Its totient is φ = 254312448.

The previous prime is 973232633. The next prime is 973232641. The reversal of 973232640 is 46232379.

It is a happy number.

973232640 is a `hidden beast` number, since 9 + 7 + 3 + 2 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 854509824 + 118722816 = 29232^2 + 10896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×973232640² = 1894363543122739200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 973232595 and 973232604.

It is not an unprimeable number, because it can be changed into a prime (973232641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220722 + ... + 1221518.

Almost surely, 2^973232640 is an apocalyptic number.

973232640 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 973232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719241524).

973232640 is an abundant number, since it is smaller than the sum of its proper divisors (2465250408).

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

973232640 is a wasteful number, since it uses less digits than its factorization.

973232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 973232640 is about 31196.6767460895. The cubic root of 973232640 is about 990.9967310803.

The spelling of 973232640 in words is "nine hundred seventy-three million, two hundred thirty-two thousand, six hundred forty".