98644624 has 45 divisors (see below), whose sum is σ = 208045929. Its totient is φ = 45289920.

The previous prime is 98644589. The next prime is 98644639. The reversal of 98644624 is 42644689.

The square root of 98644624 is 9932.

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

It can be written as a sum of positive squares in only one way, i.e., 14592400 + 84052224 = 3820^2 + 9168^2 .

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 8 ways as a sum of consecutive naturals, for example, 516369 + ... + 516559.

Almost surely, 2^98644624 is an apocalyptic number.

98644624 is the 9932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98644624

98644624 is an abundant number, since it is smaller than the sum of its proper divisors (109401305).

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

98644624 is a wasteful number, since it uses less digits than its factorization.

98644624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 206 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The cubic root of 98644624 is about 462.0523044422.

Multiplying 98644624 by its product of digits (331776), we get a square (32727918772224 = 5720832²).

The spelling of 98644624 in words is "ninety-eight million, six hundred forty-four thousand, six hundred twenty-four".