99819648 has 128 divisors (see below), whose sum is σ = 312120000. Its totient is φ = 31297536.

The previous prime is 99819637. The next prime is 99819661. The reversal of 99819648 is 84691899.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 99819594 and 99819603.

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, 57903 + ... + 59601.

Almost surely, 2^99819648 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 99819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156060000).

99819648 is an abundant number, since it is smaller than the sum of its proper divisors (212300352).

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

99819648 is a wasteful number, since it uses less digits than its factorization.

99819648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1721 counting only the distinct ones).

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

The square root of 99819648 is about 9990.9783304739. The cubic root of 99819648 is about 463.8796754985.

The spelling of 99819648 in words is "ninety-nine million, eight hundred nineteen thousand, six hundred forty-eight".