98879616 has 288 divisors, whose sum is σ = 341948880. Its totient is φ = 28200960.

The previous prime is 98879603. The next prime is 98879621. The reversal of 98879616 is 61697889.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5816440 + ... + 5816456.

Almost surely, 2^98879616 is an apocalyptic number.

98879616 is a gapful number since it is divisible by the number (96) 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 98879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170974440).

98879616 is an abundant number, since it is smaller than the sum of its proper divisors (243069264).

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

98879616 is a wasteful number, since it uses less digits than its factorization.

98879616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 98879616 is about 9943.8230072744. The cubic root of 98879616 is about 462.4189150279.

It can be divided in two parts, 9887 and 9616, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 98879616 in words is "ninety-eight million, eight hundred seventy-nine thousand, six hundred sixteen".