98416800 has 108 divisors (see below), whose sum is σ = 347067630. Its totient is φ = 26242560.

The previous prime is 98416783. The next prime is 98416811. The reversal of 98416800 is 861489.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 83393424 + 15023376 = 9132^2 + 3876^2 .

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

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, 366 + ... + 14034.

Almost surely, 2^98416800 is an apocalyptic number.

98416800 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 98416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173533815).

98416800 is an abundant number, since it is smaller than the sum of its proper divisors (248650830).

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

98416800 is a wasteful number, since it uses less digits than its factorization.

98416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13695 (or 13679 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98416800 is about 9920.5241796994. The cubic root of 98416800 is about 461.6963203608.

It can be divided in two parts, 9841 and 6800, that added together give a square (16641 = 129²).

The spelling of 98416800 in words is "ninety-eight million, four hundred sixteen thousand, eight hundred".