98879760 has 240 divisors, whose sum is σ = 396474624. Its totient is φ = 21593088.

The previous prime is 98879731. The next prime is 98879771. The reversal of 98879760 is 6797889.

98879760 = T₄₄₉ + T₄₅₀ + ... + T₈₈₀.

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

It is a junction number, because it is equal to n+sod(n) for n = 98879697 and 98879706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115494 + ... + 116346.

Almost surely, 2^98879760 is an apocalyptic number.

98879760 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 98879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198237312).

98879760 is an abundant number, since it is smaller than the sum of its proper divisors (297594864).

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

98879760 is a wasteful number, since it uses less digits than its factorization.

98879760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 98879760 is about 9943.8302479477. The cubic root of 98879760 is about 462.4191395038.

The spelling of 98879760 in words is "ninety-eight million, eight hundred seventy-nine thousand, seven hundred sixty".