98532000 has 576 divisors, whose sum is σ = 441552384. Its totient is φ = 20275200.

The previous prime is 98531959. The next prime is 98532013. The reversal of 98532000 is 23589.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283989 + ... + 4284011.

It is an arithmetic number, because the mean of its divisors is an integer number (766584).

Almost surely, 2^98532000 is an apocalyptic number.

98532000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

98532000 is an abundant number, since it is smaller than the sum of its proper divisors (343020384).

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

98532000 is a wasteful number, since it uses less digits than its factorization.

98532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 98532000 is about 9926.3286264359. The cubic root of 98532000 is about 461.8763935362.

Adding to 98532000 its reverse (23589), we get a palindrome (98555589).

The spelling of 98532000 in words is "ninety-eight million, five hundred thirty-two thousand".