98416080 has 320 divisors, whose sum is σ = 405688320. Its totient is φ = 21441024.

The previous prime is 98416079. The next prime is 98416081. The reversal of 98416080 is 8061489.

It is a happy number.

98416080 is a `hidden beast` number, since 9 + 8 + 41 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98416079) and next prime (98416081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98416081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347619 + ... + 347901.

It is an arithmetic number, because the mean of its divisors is an integer number (1267776).

Almost surely, 2^98416080 is an apocalyptic number.

98416080 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 98416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202844160).

98416080 is an abundant number, since it is smaller than the sum of its proper divisors (307272240).

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

98416080 is a wasteful number, since it uses less digits than its factorization.

98416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98416080 is about 9920.4878912279. The cubic root of 98416080 is about 461.6951944617.

The spelling of 98416080 in words is "ninety-eight million, four hundred sixteen thousand, eighty".