98868000 has 384 divisors, whose sum is σ = 407586816. Its totient is φ = 20352000.

The previous prime is 98867987. The next prime is 98868013. The reversal of 98868000 is 86889.

It is an interprime number because it is at equal distance from previous prime (98867987) and next prime (98868013).

It is a self number, because there is not a number n which added to its sum of digits gives 98868000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923947 + ... + 924053.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^98868000 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 98868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

98868000 is an abundant number, since it is smaller than the sum of its proper divisors (308718816).

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

98868000 is a wasteful number, since it uses less digits than its factorization.

98868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 98868000 is about 9943.2389089270. The cubic root of 98868000 is about 462.4008065822.

The spelling of 98868000 in words is "ninety-eight million, eight hundred sixty-eight thousand".