973638144 has 200 divisors, whose sum is σ = 3079225908. Its totient is φ = 305233920.

The previous prime is 973638097. The next prime is 973638181. The reversal of 973638144 is 441836379.

973638144 is a `hidden beast` number, since 9 + 7 + 3 + 638 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 958521600 + 15116544 = 30960^2 + 3888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 973638144.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704334 + ... + 705714.

Almost surely, 2^973638144 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 973638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539612954).

973638144 is an abundant number, since it is smaller than the sum of its proper divisors (2105587764).

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

973638144 is a wasteful number, since it uses less digits than its factorization.

973638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1403 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 973638144 is about 31203.1752230442. The cubic root of 973638144 is about 991.1343471456.

The spelling of 973638144 in words is "nine hundred seventy-three million, six hundred thirty-eight thousand, one hundred forty-four".