99729840 has 320 divisors, whose sum is σ = 385689600. Its totient is φ = 20815872.

The previous prime is 99729823. The next prime is 99729887. The reversal of 99729840 is 4892799.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99729840.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1120516 + ... + 1120604.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^99729840 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 99729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

99729840 is an abundant number, since it is smaller than the sum of its proper divisors (285959760).

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

99729840 is a wasteful number, since it uses less digits than its factorization.

99729840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 99729840 is about 9986.4828643522. The cubic root of 99729840 is about 463.7405158345.

The spelling of 99729840 in words is "ninety-nine million, seven hundred twenty-nine thousand, eight hundred forty".