98906016 has 96 divisors (see below), whose sum is σ = 285163200. Its totient is φ = 29767680.

The previous prime is 98906009. The next prime is 98906023. The reversal of 98906016 is 61060989.

It is an interprime number because it is at equal distance from previous prime (98906009) and next prime (98906023).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241620 + ... + 242028.

It is an arithmetic number, because the mean of its divisors is an integer number (2970450).

Almost surely, 2^98906016 is an apocalyptic number.

98906016 is a gapful number since it is divisible by the number (96) 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 98906016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142581600).

98906016 is an abundant number, since it is smaller than the sum of its proper divisors (186257184).

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

98906016 is a wasteful number, since it uses less digits than its factorization.

98906016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 98906016 is about 9945.1503759370. The cubic root of 98906016 is about 462.4600653126.

The spelling of 98906016 in words is "ninety-eight million, nine hundred six thousand, sixteen".