29916820 has 36 divisors (see below), whose sum is σ = 64399860. Its totient is φ = 11673984.

The previous prime is 29916797. The next prime is 29916833. The reversal of 29916820 is 2861992.

It can be written as a sum of positive squares in 2 ways, for example, as 19236996 + 10679824 = 4386^2 + 3268^2 .

It is a super-2 number, since 2×29916820² = 1790032237824800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29916820.

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 11 ways as a sum of consecutive naturals, for example, 36576 + ... + 37384.

It is an arithmetic number, because the mean of its divisors is an integer number (1788885).

Almost surely, 2^29916820 is an apocalyptic number.

29916820 is a gapful number since it is divisible by the number (20) 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 29916820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32199930).

29916820 is an abundant number, since it is smaller than the sum of its proper divisors (34483040).

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

29916820 is a wasteful number, since it uses less digits than its factorization.

29916820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 29916820 is about 5469.6270439583. The cubic root of 29916820 is about 310.4358074370.

The spelling of 29916820 in words is "twenty-nine million, nine hundred sixteen thousand, eight hundred twenty".