989731600 has 225 divisors, whose sum is σ = 2832273615. Its totient is φ = 332217600.

The previous prime is 989731597. The next prime is 989731601. The reversal of 989731600 is 6137989.

989731600 = T₃₉₈₄ + T₃₉₈₅ + ... + T₄₁₀₄.

The square root of 989731600 is 31460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 255104784 + 734626816 = 15972^2 + 27104^2 .

It is not an unprimeable number, because it can be changed into a prime (989731601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76133194 + ... + 76133206.

Almost surely, 2^989731600 is an apocalyptic number.

989731600 is the 31460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989731600

989731600 is an abundant number, since it is smaller than the sum of its proper divisors (1842542015).

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

989731600 is a wasteful number, since it uses less digits than its factorization.

989731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The cubic root of 989731600 is about 996.5654171458.

The spelling of 989731600 in words is "nine hundred eighty-nine million, seven hundred thirty-one thousand, six hundred".