98987680 has 72 divisors (see below), whose sum is σ = 257101236. Its totient is φ = 35988480.

The previous prime is 98987671. The next prime is 98987683. The reversal of 98987680 is 8678989.

It can be written as a sum of positive squares in 2 ways, for example, as 82955664 + 16032016 = 9108^2 + 4004^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (98987683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16804 + ... + 21916.

Almost surely, 2^98987680 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 98987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128550618).

98987680 is an abundant number, since it is smaller than the sum of its proper divisors (158113556).

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

98987680 is a wasteful number, since it uses less digits than its factorization.

98987680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The square root of 98987680 is about 9949.2552485098. The cubic root of 98987680 is about 462.5873105192.

It can be divided in two parts, 9898 and 7680, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 98987680 in words is "ninety-eight million, nine hundred eighty-seven thousand, six hundred eighty".