99769824 has 216 divisors, whose sum is σ = 357280560. Its totient is φ = 25850880.

The previous prime is 99769807. The next prime is 99769829. The reversal of 99769824 is 42896799.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1959552) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99769829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243732 + ... + 244140.

Almost surely, 2^99769824 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 99769824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178640280).

99769824 is an abundant number, since it is smaller than the sum of its proper divisors (257510736).

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

99769824 is a wasteful number, since it uses less digits than its factorization.

99769824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 432 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 99769824 is about 9988.4845697433. The cubic root of 99769824 is about 463.8024823209.

The spelling of 99769824 in words is "ninety-nine million, seven hundred sixty-nine thousand, eight hundred twenty-four".