98492800 has 96 divisors (see below), whose sum is σ = 278129520. Its totient is φ = 33761280.

The previous prime is 98492791. The next prime is 98492819. The reversal of 98492800 is 829489.

98492800 = T₃₃₁ + T₃₃₂ + ... + T₈₅₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 20202 + ... + 24598.

Almost surely, 2^98492800 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 98492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139064760).

98492800 is an abundant number, since it is smaller than the sum of its proper divisors (179636720).

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

98492800 is a wasteful number, since it uses less digits than its factorization.

98492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 98492800 is about 9924.3538832510. The cubic root of 98492800 is about 461.8151343980.

The spelling of 98492800 in words is "ninety-eight million, four hundred ninety-two thousand, eight hundred".