99948384 has 96 divisors (see below), whose sum is σ = 301644000. Its totient is φ = 32159232.

The previous prime is 99948361. The next prime is 99948391. The reversal of 99948384 is 48384999.

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

It is a super-2 number, since 2×99948384² = 19979358928422912, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 99948384.

It is a congruent number.

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, 23062 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (3142125).

Almost surely, 2^99948384 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 99948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

99948384 is an abundant number, since it is smaller than the sum of its proper divisors (201695616).

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

99948384 is a wasteful number, since it uses less digits than its factorization.

99948384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4023 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 99948384 is about 9997.4188668876. The cubic root of 99948384 is about 464.0790095341.

The spelling of 99948384 in words is "ninety-nine million, nine hundred forty-eight thousand, three hundred eighty-four".