98400512 has 72 divisors (see below), whose sum is σ = 229876416. Its totient is φ = 41158656.

The previous prime is 98400499. The next prime is 98400527. The reversal of 98400512 is 21500489.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76418 + ... + 77694.

It is an arithmetic number, because the mean of its divisors is an integer number (3192728).

Almost surely, 2^98400512 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 98400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114938208).

98400512 is an abundant number, since it is smaller than the sum of its proper divisors (131475904).

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

98400512 is a wasteful number, since it uses less digits than its factorization.

98400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 98400512 is about 9919.7032213671. The cubic root of 98400512 is about 461.6708486779.

The spelling of 98400512 in words is "ninety-eight million, four hundred thousand, five hundred twelve".