989466624 has 208 divisors, whose sum is σ = 3066710400. Its totient is φ = 314671104.

The previous prime is 989466619. The next prime is 989466697. The reversal of 989466624 is 426664989.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2543422 + ... + 2543810.

It is an arithmetic number, because the mean of its divisors is an integer number (14743800).

Almost surely, 2^989466624 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 989466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533355200).

989466624 is an abundant number, since it is smaller than the sum of its proper divisors (2077243776).

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

989466624 is a wasteful number, since it uses less digits than its factorization.

989466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 417 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 989466624 is about 31455.7884021367. The cubic root of 989466624 is about 996.4764740131.

It can be divided in two parts, 98946 and 6624, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 989466624 in words is "nine hundred eighty-nine million, four hundred sixty-six thousand, six hundred twenty-four".