98624 has 28 divisors (see below), whose sum is σ = 207264. Its totient is φ = 46464.

The previous prime is 98621. The next prime is 98627. The reversal of 98624 is 42689.

It is an interprime number because it is at equal distance from previous prime (98621) and next prime (98627).

It is a plaindrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98624.

It is not an unprimeable number, because it can be changed into a prime (98621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1439 + ... + 1505.

2⁹⁸⁶²⁴ 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 98624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632).

98624 is an abundant number, since it is smaller than the sum of its proper divisors (108640).

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

98624 is a wasteful number, since it uses less digits than its factorization.

98624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 98624 is about 314.0445828222. The cubic root of 98624 is about 46.2020101197.

The spelling of 98624 in words is "ninety-eight thousand, six hundred twenty-four".