98974800 has 180 divisors, whose sum is σ = 361797280. Its totient is φ = 24986880.

The previous prime is 98974793. The next prime is 98974873. The reversal of 98974800 is 847989.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×98974800² = 19592022070080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 67677 + ... + 69123.

Almost surely, 2^98974800 is an apocalyptic number.

98974800 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 98974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180898640).

98974800 is an abundant number, since it is smaller than the sum of its proper divisors (262822480).

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

98974800 is a wasteful number, since it uses less digits than its factorization.

98974800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 98974800 is about 9948.6079428230. The cubic root of 98974800 is about 462.5672461267.

The spelling of 98974800 in words is "ninety-eight million, nine hundred seventy-four thousand, eight hundred".