98076400 has 60 divisors (see below), whose sum is σ = 249506352. Its totient is φ = 36920320.

The previous prime is 98076397. The next prime is 98076401. The reversal of 98076400 is 467089.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98076401) by changing a digit.

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, 412 + ... + 14011.

Almost surely, 2^98076400 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 98076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124753176).

98076400 is an abundant number, since it is smaller than the sum of its proper divisors (151429952).

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

98076400 is a wasteful number, since it uses less digits than its factorization.

98076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14458 (or 14447 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 98076400 is about 9903.3529675560. The cubic root of 98076400 is about 461.1634067020.

The spelling of 98076400 in words is "ninety-eight million, seventy-six thousand, four hundred".