98846352 has 240 divisors, whose sum is σ = 327201280. Its totient is φ = 28512000.

The previous prime is 98846329. The next prime is 98846353. The reversal of 98846352 is 25364889.

98846352 is a `hidden beast` number, since 9 + 8 + 8 + 4 + 635 + 2 = 666.

Its product of digits (414720) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 98846298 and 98846307.

It is not an unprimeable number, because it can be changed into a prime (98846353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1620402 + ... + 1620462.

Almost surely, 2^98846352 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 98846352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163600640).

98846352 is an abundant number, since it is smaller than the sum of its proper divisors (228354928).

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

98846352 is a wasteful number, since it uses less digits than its factorization.

98846352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 98846352 is about 9942.1502704395. The cubic root of 98846352 is about 462.3670552391.

The spelling of 98846352 in words is "ninety-eight million, eight hundred forty-six thousand, three hundred fifty-two".