98642880 has 336 divisors, whose sum is σ = 406542240. Its totient is φ = 22450176.

The previous prime is 98642839. The next prime is 98642881. The reversal of 98642880 is 8824689.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98642881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423244 + ... + 423476.

Almost surely, 2^98642880 is an apocalyptic number.

98642880 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 98642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203271120).

98642880 is an abundant number, since it is smaller than the sum of its proper divisors (307899360).

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

98642880 is a wasteful number, since it uses less digits than its factorization.

98642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 98642880 is about 9931.9122025922. The cubic root of 98642880 is about 462.0495814556.

The spelling of 98642880 in words is "ninety-eight million, six hundred forty-two thousand, eight hundred eighty".