98988624 has 90 divisors (see below), whose sum is σ = 322283130. Its totient is φ = 28280448.

The previous prime is 98988601. The next prime is 98988641. The reversal of 98988624 is 42688989.

98988624 is a `hidden beast` number, since 9 + 8 + 9 + 8 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 41835024 = 7560^2 + 6468^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42 + ... + 14070.

Almost surely, 2^98988624 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 98988624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161141565).

98988624 is an abundant number, since it is smaller than the sum of its proper divisors (223294506).

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

98988624 is a wasteful number, since it uses less digits than its factorization.

98988624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14041 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 98988624 is about 9949.3026891335. The cubic root of 98988624 is about 462.5887810087.

The spelling of 98988624 in words is "ninety-eight million, nine hundred eighty-eight thousand, six hundred twenty-four".