98724192 has 96 divisors (see below), whose sum is σ = 299158272. Its totient is φ = 27922944.

The previous prime is 98724163. The next prime is 98724193. The reversal of 98724192 is 29142789.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98724193) 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, 71218 + ... + 72590.

It is an arithmetic number, because the mean of its divisors is an integer number (3116232).

Almost surely, 2^98724192 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 98724192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149579136).

98724192 is an abundant number, since it is smaller than the sum of its proper divisors (200434080).

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

98724192 is a wasteful number, since it uses less digits than its factorization.

98724192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 98724192 is about 9936.0048309167. The cubic root of 98724192 is about 462.1765034635.

The spelling of 98724192 in words is "ninety-eight million, seven hundred twenty-four thousand, one hundred ninety-two".