98516544 has 112 divisors (see below), whose sum is σ = 310944768. Its totient is φ = 26915328.

The previous prime is 98516527. The next prime is 98516549. The reversal of 98516544 is 44561589.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 98516496 and 98516505.

It is not an unprimeable number, because it can be changed into a prime (98516549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29319 + ... + 32505.

Almost surely, 2^98516544 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 98516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155472384).

98516544 is an abundant number, since it is smaller than the sum of its proper divisors (212428224).

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

98516544 is a wasteful number, since it uses less digits than its factorization.

98516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3222 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 98516544 is about 9925.5500603241. The cubic root of 98516544 is about 461.8522418736.

The spelling of 98516544 in words is "ninety-eight million, five hundred sixteen thousand, five hundred forty-four".