98948880 has 120 divisors (see below), whose sum is σ = 338703768. Its totient is φ = 25878528.

The previous prime is 98948879. The next prime is 98948897. The reversal of 98948880 is 8884989.

98948880 is a `hidden beast` number, since 9 + 89 + 488 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 77158656 = 4668^2 + 8784^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36864 + ... + 39456.

Almost surely, 2^98948880 is an apocalyptic number.

98948880 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 98948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169351884).

98948880 is an abundant number, since it is smaller than the sum of its proper divisors (239754888).

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

98948880 is a wasteful number, since it uses less digits than its factorization.

98948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 98948880 is about 9947.3051627061. The cubic root of 98948880 is about 462.5268628176.

The spelling of 98948880 in words is "ninety-eight million, nine hundred forty-eight thousand, eight hundred eighty".