98294784 has 132 divisors (see below), whose sum is σ = 305232264. Its totient is φ = 28041216.

The previous prime is 98294773. The next prime is 98294789. The reversal of 98294784 is 48749289.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98294789) 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 11 ways as a sum of consecutive naturals, for example, 150202 + ... + 150854.

Almost surely, 2^98294784 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 98294784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152616132).

98294784 is an abundant number, since it is smaller than the sum of its proper divisors (206937480).

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

98294784 is a wasteful number, since it uses less digits than its factorization.

98294784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 98294784 is about 9914.3725973962. The cubic root of 98294784 is about 461.5054395519.

The spelling of 98294784 in words is "ninety-eight million, two hundred ninety-four thousand, seven hundred eighty-four".