98712000 has 224 divisors, whose sum is σ = 362955840. Its totient is φ = 26265600.

The previous prime is 98711989. The next prime is 98712017. The reversal of 98712000 is 21789.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215772 + ... + 216228.

Almost surely, 2^98712000 is an apocalyptic number.

98712000 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 98712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181477920).

98712000 is an abundant number, since it is smaller than the sum of its proper divisors (264243840).

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

98712000 is a wasteful number, since it uses less digits than its factorization.

98712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 98712000 is about 9935.3912857018. The cubic root of 98712000 is about 462.1574770972.

Adding to 98712000 its reverse (21789), we get a palindrome (98733789).

The spelling of 98712000 in words is "ninety-eight million, seven hundred twelve thousand".