973615104 has 390 divisors, whose sum is σ = 3579106596. Its totient is φ = 252887040.

The previous prime is 973615067. The next prime is 973615117. The reversal of 973615104 is 401516379.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 88510459 + ... + 88510469.

Almost surely, 2^973615104 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 973615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789553298).

973615104 is an abundant number, since it is smaller than the sum of its proper divisors (2605491492).

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

973615104 is an equidigital number, since it uses as much as digits as its factorization.

973615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 973615104 is about 31202.8060276636. The cubic root of 973615104 is about 991.1265290750.

The spelling of 973615104 in words is "nine hundred seventy-three million, six hundred fifteen thousand, one hundred four".