98825400 has 96 divisors (see below), whose sum is σ = 340417200. Its totient is φ = 26352000.

The previous prime is 98825381. The next prime is 98825401. The reversal of 98825400 is 452889.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98825401) 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, 3751 + ... + 14550.

Almost surely, 2^98825400 is an apocalyptic number.

98825400 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 98825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170208600).

98825400 is an abundant number, since it is smaller than the sum of its proper divisors (241591800).

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

98825400 is a wasteful number, since it uses less digits than its factorization.

98825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18326 (or 18311 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 98825400 is about 9941.0965189963. The cubic root of 98825400 is about 462.3343843349.

It can be divided in two parts, 98825 and 400, that added together give a square (99225 = 315²).

The spelling of 98825400 in words is "ninety-eight million, eight hundred twenty-five thousand, four hundred".