973895904 has 72 divisors (see below), whose sum is σ = 2786238000. Its totient is φ = 322672128.

The previous prime is 973895903. The next prime is 973895933. The reversal of 973895904 is 409598379.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973895903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37972 + ... + 58220.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 2^973895904 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 973895904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393119000).

973895904 is an abundant number, since it is smaller than the sum of its proper divisors (1812342096).

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

973895904 is a wasteful number, since it uses less digits than its factorization.

973895904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20432 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 973895904 is about 31207.3052985996. The cubic root of 973895904 is about 991.2218034043.

The spelling of 973895904 in words is "nine hundred seventy-three million, eight hundred ninety-five thousand, nine hundred four".