98985672 has 64 divisors (see below), whose sum is σ = 275817600. Its totient is φ = 32892480.

The previous prime is 98985661. The next prime is 98985683. The reversal of 98985672 is 27658989.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98985661) and next prime (98985683).

It is a super-3 number, since 3×98985672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104722 + ... + 105662.

It is an arithmetic number, because the mean of its divisors is an integer number (4309650).

Almost surely, 2^98985672 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 98985672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137908800).

98985672 is an abundant number, since it is smaller than the sum of its proper divisors (176831928).

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

98985672 is a wasteful number, since it uses less digits than its factorization.

98985672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1433 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 98985672 is about 9949.1543359222. The cubic root of 98985672 is about 462.5841825825.

The spelling of 98985672 in words is "ninety-eight million, nine hundred eighty-five thousand, six hundred seventy-two".