99729630 has 384 divisors, whose sum is σ = 369847296. Its totient is φ = 18662400.

The previous prime is 99729593. The next prime is 99729631. The reversal of 99729630 is 3692799.

99729630 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 9 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99729631) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2432410 + ... + 2432450.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^99729630 is an apocalyptic number.

99729630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99729630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

99729630 is an abundant number, since it is smaller than the sum of its proper divisors (270117666).

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

99729630 is a wasteful number, since it uses less digits than its factorization.

99729630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 99729630 is about 9986.4723501345. The cubic root of 99729630 is about 463.7401903365.

The spelling of 99729630 in words is "ninety-nine million, seven hundred twenty-nine thousand, six hundred thirty".