973009590 has 128 divisors (see below), whose sum is σ = 2747796480. Its totient is φ = 215889408.

The previous prime is 973009579. The next prime is 973009601. The reversal of 973009590 is 95900379.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (973009579) and next prime (973009601).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2501116 + ... + 2501504.

It is an arithmetic number, because the mean of its divisors is an integer number (21467160).

Almost surely, 2^973009590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973009590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373898240).

973009590 is an abundant number, since it is smaller than the sum of its proper divisors (1774786890).

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

973009590 is a wasteful number, since it uses less digits than its factorization.

973009590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726.

The product of its (nonzero) digits is 76545, while the sum is 42.

The square root of 973009590 is about 31193.1016412283. The cubic root of 973009590 is about 990.9210182102.

The spelling of 973009590 in words is "nine hundred seventy-three million, nine thousand, five hundred ninety".