99629316 has 72 divisors (see below), whose sum is σ = 268481304. Its totient is φ = 31042560.

The previous prime is 99629311. The next prime is 99629339. The reversal of 99629316 is 61392699.

It is a happy number.

99629316 is a `hidden beast` number, since 9 + 9 + 629 + 3 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55353600 + 44275716 = 7440^2 + 6654^2 .

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

It is not an unprimeable number, because it can be changed into a prime (99629311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105406 + ... + 106346.

It is an arithmetic number, because the mean of its divisors is an integer number (3728907).

Almost surely, 2^99629316 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 99629316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134240652).

99629316 is an abundant number, since it is smaller than the sum of its proper divisors (168851988).

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

99629316 is a wasteful number, since it uses less digits than its factorization.

99629316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1136 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 99629316 is about 9981.4485922635. The cubic root of 99629316 is about 463.5846523432.

The spelling of 99629316 in words is "ninety-nine million, six hundred twenty-nine thousand, three hundred sixteen".