99949248 has 112 divisors (see below), whose sum is σ = 335848960. Its totient is φ = 28553472.

The previous prime is 99949229. The next prime is 99949259. The reversal of 99949248 is 84294999.

It is a tau number, because it is divible by the number of its divisors (112).

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.

It is a junction number, because it is equal to n+sod(n) for n = 99949194 and 99949203.

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, 7965 + ... + 16227.

Almost surely, 2^99949248 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 99949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167924480).

99949248 is an abundant number, since it is smaller than the sum of its proper divisors (235899712).

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

99949248 is a wasteful number, since it uses less digits than its factorization.

99949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8275 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 99949248 is about 9997.4620779476. The cubic root of 99949248 is about 464.0803467680.

The spelling of 99949248 in words is "ninety-nine million, nine hundred forty-nine thousand, two hundred forty-eight".