98233632 has 108 divisors (see below), whose sum is σ = 325007046. Its totient is φ = 28062720.

The previous prime is 98233609. The next prime is 98233651. The reversal of 98233632 is 23633289.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 26255376 = 8484^2 + 5124^2 .

It is a super-2 number, since 2×98233632² = 19299692911822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10632 + ... + 17592.

Almost surely, 2^98233632 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 98233632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162503523).

98233632 is an abundant number, since it is smaller than the sum of its proper divisors (226773414).

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

98233632 is a wasteful number, since it uses less digits than its factorization.

98233632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6973 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 98233632 is about 9911.2881100289. The cubic root of 98233632 is about 461.4097144481.

The spelling of 98233632 in words is "ninety-eight million, two hundred thirty-three thousand, six hundred thirty-two".