98375400 has 288 divisors, whose sum is σ = 357477120. Its totient is φ = 24192000.

The previous prime is 98375353. The next prime is 98375401. The reversal of 98375400 is 457389.

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 (98375401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2287779 + ... + 2287821.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^98375400 is an apocalyptic number.

98375400 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 98375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

98375400 is an abundant number, since it is smaller than the sum of its proper divisors (259101720).

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

98375400 is a wasteful number, since it uses less digits than its factorization.

98375400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 98375400 is about 9918.4373769259. The cubic root of 98375400 is about 461.6315722402.

The spelling of 98375400 in words is "ninety-eight million, three hundred seventy-five thousand, four hundred".