98971840 has 112 divisors (see below), whose sum is σ = 265688064. Its totient is φ = 34790400.

The previous prime is 98971813. The next prime is 98971843. The reversal of 98971840 is 4817989.

It is a happy number.

It is a super-2 number, since 2×98971840² = 19590850225971200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98971843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108667 + ... + 109573.

Almost surely, 2^98971840 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 98971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132844032).

98971840 is an abundant number, since it is smaller than the sum of its proper divisors (166716224).

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

98971840 is a wasteful number, since it uses less digits than its factorization.

98971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 98971840 is about 9948.4591771791. The cubic root of 98971840 is about 462.5626348091.

The spelling of 98971840 in words is "ninety-eight million, nine hundred seventy-one thousand, eight hundred forty".