98001792 has 128 divisors (see below), whose sum is σ = 330643200. Its totient is φ = 27993600.

The previous prime is 98001763. The next prime is 98001793. The reversal of 98001792 is 29710089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×98001792² = 19208702470422528, 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 not an unprimeable number, because it can be changed into a prime (98001793) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22167 + ... + 26217.

It is an arithmetic number, because the mean of its divisors is an integer number (2583150).

Almost surely, 2^98001792 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 98001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165321600).

98001792 is an abundant number, since it is smaller than the sum of its proper divisors (232641408).

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

98001792 is a wasteful number, since it uses less digits than its factorization.

98001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 98001792 is about 9899.5854458659. The cubic root of 98001792 is about 461.0464393594.

98001792 divided by its sum of digits (36) gives a palindrome (2722272).

The spelling of 98001792 in words is "ninety-eight million, one thousand, seven hundred ninety-two".