99948816 has 280 divisors, whose sum is σ = 341540640. Its totient is φ = 27993600.

The previous prime is 99948811. The next prime is 99948817. The reversal of 99948816 is 61884999.

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 not an unprimeable number, because it can be changed into a prime (99948811) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2437756 + ... + 2437796.

It is an arithmetic number, because the mean of its divisors is an integer number (1219788).

Almost surely, 2^99948816 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 99948816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170770320).

99948816 is an abundant number, since it is smaller than the sum of its proper divisors (241591824).

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

99948816 is a wasteful number, since it uses less digits than its factorization.

99948816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 99948816 is about 9997.4404724409. The cubic root of 99948816 is about 464.0796781520.

The spelling of 99948816 in words is "ninety-nine million, nine hundred forty-eight thousand, eight hundred sixteen".