98377200 has 120 divisors (see below), whose sum is σ = 350188400. Its totient is φ = 26231040.

The previous prime is 98377177. The next prime is 98377207. The reversal of 98377200 is 277389.

It is a tau number, because it is divible by the number of its divisors (120).

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 (98377207) 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, 6246 + ... + 15354.

Almost surely, 2^98377200 is an apocalyptic number.

98377200 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 98377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175094200).

98377200 is an abundant number, since it is smaller than the sum of its proper divisors (251811200).

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

98377200 is a wasteful number, since it uses less digits than its factorization.

98377200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 98377200 is about 9918.5281166109. The cubic root of 98377200 is about 461.6343877536.

The spelling of 98377200 in words is "ninety-eight million, three hundred seventy-seven thousand, two hundred".