99867648 has 176 divisors, whose sum is σ = 294768000. Its totient is φ = 29933568.

The previous prime is 99867631. The next prime is 99867659. The reversal of 99867648 is 84676899.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (5225472) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692643 + ... + 1692701.

Almost surely, 2^99867648 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 99867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147384000).

99867648 is an abundant number, since it is smaller than the sum of its proper divisors (194900352).

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

99867648 is a wasteful number, since it uses less digits than its factorization.

99867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 99867648 is about 9993.3802089183. The cubic root of 99867648 is about 463.9540184320.

The spelling of 99867648 in words is "ninety-nine million, eight hundred sixty-seven thousand, six hundred forty-eight".