98993664 has 400 divisors, whose sum is σ = 380261376. Its totient is φ = 24883200.

The previous prime is 98993651. The next prime is 98993693. The reversal of 98993664 is 46639989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2519424) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 98993664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193329 + ... + 3193359.

Almost surely, 2^98993664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190130688).

98993664 is an abundant number, since it is smaller than the sum of its proper divisors (281267712).

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

98993664 is a wasteful number, since it uses less digits than its factorization.

98993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 98993664 is about 9949.5559699918. Note that the first 3 decimals coincide. The cubic root of 98993664 is about 462.5966317690.

The spelling of 98993664 in words is "ninety-eight million, nine hundred ninety-three thousand, six hundred sixty-four".