98581920 has 96 divisors (see below), whose sum is σ = 315887040. Its totient is φ = 25842944.

The previous prime is 98581919. The next prime is 98581921. The reversal of 98581920 is 2918589.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98581919) and next prime (98581921).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 590 × 354 × 472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98581921) 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, 1670851 + ... + 1670909.

It is an arithmetic number, because the mean of its divisors is an integer number (3290490).

Almost surely, 2^98581920 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 98581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157943520).

98581920 is an abundant number, since it is smaller than the sum of its proper divisors (217305120).

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

98581920 is an frugal number, since it uses more digits than its factorization.

98581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 98581920 is about 9928.8428328784. The cubic root of 98581920 is about 461.9543816579.

The spelling of 98581920 in words is "ninety-eight million, five hundred eighty-one thousand, nine hundred twenty".