29906820 has 60 divisors (see below), whose sum is σ = 93823884. Its totient is φ = 7974720.

The previous prime is 29906819. The next prime is 29906827. The reversal of 29906820 is 2860992.

It can be written as a sum of positive squares in 2 ways, for example, as 5225796 + 24681024 = 2286^2 + 4968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29906827) 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 19 ways as a sum of consecutive naturals, for example, 7611 + ... + 10850.

Almost surely, 2^29906820 is an apocalyptic number.

29906820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29906820 is an abundant number, since it is smaller than the sum of its proper divisors (63917064).

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

29906820 is a wasteful number, since it uses less digits than its factorization.

29906820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18482 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29906820 is about 5468.7128284451. The cubic root of 29906820 is about 310.4012148117.

The spelling of 29906820 in words is "twenty-nine million, nine hundred six thousand, eight hundred twenty".