98887680 has 288 divisors, whose sum is σ = 364127400. Its totient is φ = 24772608.

The previous prime is 98887673. The next prime is 98887681. The reversal of 98887680 is 8678889.

It can be written as a sum of positive squares in 4 ways, for example, as 94012416 + 4875264 = 9696^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98887681) 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, 2672622 + ... + 2672658.

Almost surely, 2^98887680 is an apocalyptic number.

98887680 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 98887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182063700).

98887680 is an abundant number, since it is smaller than the sum of its proper divisors (265239720).

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

98887680 is a wasteful number, since it uses less digits than its factorization.

98887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 98887680 is about 9944.2284768603. The cubic root of 98887680 is about 462.4314853463.

It can be divided in two parts, 98 and 887680, that added together give a triangular number (887778 = T₁₃₃₂).

The spelling of 98887680 in words is "ninety-eight million, eight hundred eighty-seven thousand, six hundred eighty".