98088480 has 288 divisors, whose sum is σ = 394377984. Its totient is φ = 21731328.

The previous prime is 98088451. The next prime is 98088481. The reversal of 98088480 is 8488089.

98088480 is a `hidden beast` number, since 98 + 0 + 88 + 480 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98088481) 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, 372829 + ... + 373091.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 2^98088480 is an apocalyptic number.

98088480 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 98088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197188992).

98088480 is an abundant number, since it is smaller than the sum of its proper divisors (296289504).

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

98088480 is a wasteful number, since it uses less digits than its factorization.

98088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 98088480 is about 9903.9628432259. The cubic root of 98088480 is about 461.1823396469.

The spelling of 98088480 in words is "ninety-eight million, eighty-eight thousand, four hundred eighty".