98185152 has 112 divisors (see below), whose sum is σ = 282773120. Its totient is φ = 29887488.

The previous prime is 98185147. The next prime is 98185159. The reversal of 98185152 is 25158189.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (28800) is a multiple of the sum of its prime factors (450).

It is a self number, because there is not a number n which added to its sum of digits gives 98185152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98185159) 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, 346803 + ... + 347085.

It is an arithmetic number, because the mean of its divisors is an integer number (2524760).

Almost surely, 2^98185152 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 98185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141386560).

98185152 is an abundant number, since it is smaller than the sum of its proper divisors (184587968).

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

98185152 is a wasteful number, since it uses less digits than its factorization.

98185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its digits is 28800, while the sum is 39.

The square root of 98185152 is about 9908.8421119725. The cubic root of 98185152 is about 461.3337973941. Note that the first 3 decimals are identical.

The spelling of 98185152 in words is "ninety-eight million, one hundred eighty-five thousand, one hundred fifty-two".