973008036 has 432 divisors, whose sum is σ = 3478745088. Its totient is φ = 222393600.

The previous prime is 973008017. The next prime is 973008059. The reversal of 973008036 is 630800379.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14522475 + ... + 14522541.

Almost surely, 2^973008036 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 973008036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739372544).

973008036 is an abundant number, since it is smaller than the sum of its proper divisors (2505737052).

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

973008036 is a wasteful number, since it uses less digits than its factorization.

973008036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

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

The square root of 973008036 is about 31193.0767318647. The cubic root of 973008036 is about 990.9204906744.

The spelling of 973008036 in words is "nine hundred seventy-three million, eight thousand, thirty-six".