999129600 has 720 divisors, whose sum is σ = 4338338400. Its totient is φ = 224501760.

The previous prime is 999129589. The next prime is 999129623. The reversal of 999129600 is 6921999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16934371 + ... + 16934429.

It is an arithmetic number, because the mean of its divisors is an integer number (6025470).

Almost surely, 2^999129600 is an apocalyptic number.

999129600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169169200).

999129600 is an abundant number, since it is smaller than the sum of its proper divisors (3339208800).

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

999129600 is a wasteful number, since it uses less digits than its factorization.

999129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 999129600 is about 31609.0113733410. The cubic root of 999129600 is about 999.7097824486.

The spelling of 999129600 in words is "nine hundred ninety-nine million, one hundred twenty-nine thousand, six hundred".