973683840 has 256 divisors, whose sum is σ = 3431704320. Its totient is φ = 233570304.

The previous prime is 973683839. The next prime is 973683869. The reversal of 973683840 is 48386379.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 973683840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750072 + ... + 751368.

It is an arithmetic number, because the mean of its divisors is an integer number (13405095).

Almost surely, 2^973683840 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 973683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715852160).

973683840 is an abundant number, since it is smaller than the sum of its proper divisors (2458020480).

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

973683840 is a wasteful number, since it uses less digits than its factorization.

973683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 973683840 is about 31203.9074476259. The cubic root of 973683840 is about 991.1498526210.

The spelling of 973683840 in words is "nine hundred seventy-three million, six hundred eighty-three thousand, eight hundred forty".