98794752 has 288 divisors, whose sum is σ = 339075072. Its totient is φ = 24870912.

The previous prime is 98794741. The next prime is 98794757. The reversal of 98794752 is 25749789.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 98794695 and 98794704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98794757) 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 31 ways as a sum of consecutive naturals, for example, 2101993 + ... + 2102039.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 2^98794752 is an apocalyptic number.

98794752 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169537536).

98794752 is an abundant number, since it is smaller than the sum of its proper divisors (240280320).

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

98794752 is a wasteful number, since it uses less digits than its factorization.

98794752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 98794752 is about 9939.5549196128. The cubic root of 98794752 is about 462.2865859308.

The spelling of 98794752 in words is "ninety-eight million, seven hundred ninety-four thousand, seven hundred fifty-two".