98813520 has 480 divisors, whose sum is σ = 409473792. Its totient is φ = 21897216.

The previous prime is 98813513. The next prime is 98813563. The reversal of 98813520 is 2531889.

It is a super-2 number, since 2×98813520² = 19528223469580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 4296229 + ... + 4296251.

Almost surely, 2^98813520 is an apocalyptic number.

98813520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98813520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

98813520 is an abundant number, since it is smaller than the sum of its proper divisors (310660272).

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

98813520 is a wasteful number, since it uses less digits than its factorization.

98813520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 98813520 is about 9940.4989814395. The cubic root of 98813520 is about 462.3158575439.

The spelling of 98813520 in words is "ninety-eight million, eight hundred thirteen thousand, five hundred twenty".