98366112 has 216 divisors, whose sum is σ = 316540224. Its totient is φ = 28933632.

The previous prime is 98366111. The next prime is 98366123. The reversal of 98366112 is 21166389.

98366112 is a `hidden beast` number, since 9 + 8 + 36 + 611 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (98366111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2092873 + ... + 2092919.

It is an arithmetic number, because the mean of its divisors is an integer number (1465464).

Almost surely, 2^98366112 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 98366112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158270112).

98366112 is an abundant number, since it is smaller than the sum of its proper divisors (218174112).

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

98366112 is a wasteful number, since it uses less digits than its factorization.

98366112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 98366112 is about 9917.9691469575. The cubic root of 98366112 is about 461.6170436454.

The spelling of 98366112 in words is "ninety-eight million, three hundred sixty-six thousand, one hundred twelve".