98682672 has 80 divisors (see below), whose sum is σ = 287124480. Its totient is φ = 28934400.

The previous prime is 98682667. The next prime is 98682677. The reversal of 98682672 is 27628689.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98682667) and next prime (98682677).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (98682677) 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 15 ways as a sum of consecutive naturals, for example, 13354 + ... + 19382.

It is an arithmetic number, because the mean of its divisors is an integer number (3589056).

Almost surely, 2^98682672 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 98682672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143562240).

98682672 is an abundant number, since it is smaller than the sum of its proper divisors (188441808).

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

98682672 is a wasteful number, since it uses less digits than its factorization.

98682672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6076 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 98682672 is about 9933.9152402263. The cubic root of 98682672 is about 462.1117025306. Note that the first 3 decimals are identical.

The spelling of 98682672 in words is "ninety-eight million, six hundred eighty-two thousand, six hundred seventy-two".