98496000 has 400 divisors, whose sum is σ = 386202960. Its totient is φ = 24883200.

The previous prime is 98495989. The next prime is 98496023. The reversal of 98496000 is 69489.

98496000 = 81³ + 82³ + ... + 144³.

98496000 is a `hidden beast` number, since 9 + 8 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183991 + ... + 5184009.

Almost surely, 2^98496000 is an apocalyptic number.

98496000 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 98496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193101480).

98496000 is an abundant number, since it is smaller than the sum of its proper divisors (287706960).

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

98496000 is an equidigital number, since it uses as much as digits as its factorization.

98496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 98496000 is about 9924.5151015050. The cubic root of 98496000 is about 461.8201357532.

The spelling of 98496000 in words is "ninety-eight million, four hundred ninety-six thousand".