98775600 has 240 divisors, whose sum is σ = 394855680. Its totient is φ = 20505600.

The previous prime is 98775587. The next prime is 98775613. The reversal of 98775600 is 657789.

It is an interprime number because it is at equal distance from previous prime (98775587) and next prime (98775613).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91866 + ... + 92934.

It is an arithmetic number, because the mean of its divisors is an integer number (1645232).

Almost surely, 2^98775600 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 98775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197427840).

98775600 is an abundant number, since it is smaller than the sum of its proper divisors (296080080).

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

98775600 is a wasteful number, since it uses less digits than its factorization.

98775600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 98775600 is about 9938.5914494963. The cubic root of 98775600 is about 462.2567115879.

The spelling of 98775600 in words is "ninety-eight million, seven hundred seventy-five thousand, six hundred".