98919144 has 80 divisors (see below), whose sum is σ = 278544420. Its totient is φ = 32797440.

The previous prime is 98919133. The next prime is 98919169. The reversal of 98919144 is 44191989.

It can be written as a sum of positive squares in 2 ways, for example, as 96236100 + 2683044 = 9810^2 + 1638^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 98919144.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189604 + ... + 190124.

Almost surely, 2^98919144 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 98919144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139272210).

98919144 is an abundant number, since it is smaller than the sum of its proper divisors (179625276).

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

98919144 is a wasteful number, since it uses less digits than its factorization.

98919144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 98919144 is about 9945.8103742229. The cubic root of 98919144 is about 462.4805255009.

The spelling of 98919144 in words is "ninety-eight million, nine hundred nineteen thousand, one hundred forty-four".