98950800 has 120 divisors (see below), whose sum is σ = 341408704. Its totient is φ = 24353280.

The previous prime is 98950799. The next prime is 98950801. The reversal of 98950800 is 805989.

It is an interprime number because it is at equal distance from previous prime (98950799) and next prime (98950801).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (98950801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12429 + ... + 18771.

Almost surely, 2^98950800 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 98950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170704352).

98950800 is an abundant number, since it is smaller than the sum of its proper divisors (242457904).

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

98950800 is a wasteful number, since it uses less digits than its factorization.

98950800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 98950800 is about 9947.4016707882. The cubic root of 98950800 is about 462.5298544157.

The spelling of 98950800 in words is "ninety-eight million, nine hundred fifty thousand, eight hundred".