98868672 has 252 divisors, whose sum is σ = 343302336. Its totient is φ = 27095040.

The previous prime is 98868643. The next prime is 98868733. The reversal of 98868672 is 27686889.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 874888 + ... + 875000.

Almost surely, 2^98868672 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 98868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171651168).

98868672 is an abundant number, since it is smaller than the sum of its proper divisors (244433664).

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

98868672 is a wasteful number, since it uses less digits than its factorization.

98868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 98868672 is about 9943.2727006756. The cubic root of 98868672 is about 462.4018542169.

The spelling of 98868672 in words is "ninety-eight million, eight hundred sixty-eight thousand, six hundred seventy-two".