973004940 has 96 divisors (see below), whose sum is σ = 3038300160. Its totient is φ = 258510528.

The previous prime is 973004927. The next prime is 973004969. The reversal of 973004940 is 49400379.

It is a super-2 number, since 2×973004940² = 1893477226528807200, 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 = 973004895 and 973004904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149637 + ... + 156003.

It is an arithmetic number, because the mean of its divisors is an integer number (31648960).

Almost surely, 2^973004940 is an apocalyptic number.

973004940 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 973004940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519150080).

973004940 is an abundant number, since it is smaller than the sum of its proper divisors (2065295220).

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

973004940 is a wasteful number, since it uses less digits than its factorization.

973004940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 973004940 is about 31193.0271054285. The cubic root of 973004940 is about 990.9194396748.

The spelling of 973004940 in words is "nine hundred seventy-three million, four thousand, nine hundred forty".