98819040 has 96 divisors (see below), whose sum is σ = 324850176. Its totient is φ = 25203200.

The previous prime is 98819023. The next prime is 98819047. The reversal of 98819040 is 4091889.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×98819040³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98819040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98819047) 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, 6565 + ... + 15515.

It is an arithmetic number, because the mean of its divisors is an integer number (3383856).

Almost surely, 2^98819040 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 98819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162425088).

98819040 is an abundant number, since it is smaller than the sum of its proper divisors (226031136).

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

98819040 is a wasteful number, since it uses less digits than its factorization.

98819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 98819040 is about 9940.7766296200. The cubic root of 98819040 is about 462.3244661366.

The spelling of 98819040 in words is "ninety-eight million, eight hundred nineteen thousand, forty".