973866240 has 432 divisors, whose sum is σ = 3642702336. Its totient is φ = 248832000.

The previous prime is 973866217. The next prime is 973866241. The reversal of 973866240 is 42668379.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973866241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9642190 + ... + 9642290.

Almost surely, 2^973866240 is an apocalyptic number.

973866240 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 973866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821351168).

973866240 is an abundant number, since it is smaller than the sum of its proper divisors (2668836096).

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

973866240 is a wasteful number, since it uses less digits than its factorization.

973866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 973866240 is about 31206.8300216475. The cubic root of 973866240 is about 991.2117393916.

The spelling of 973866240 in words is "nine hundred seventy-three million, eight hundred sixty-six thousand, two hundred forty".