29814820 has 48 divisors (see below), whose sum is σ = 72027648. Its totient is φ = 10154880.

The previous prime is 29814809. The next prime is 29814823. The reversal of 29814820 is 2841892.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29814823) 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 15 ways as a sum of consecutive naturals, for example, 23605 + ... + 24835.

It is an arithmetic number, because the mean of its divisors is an integer number (1500576).

Almost surely, 2^29814820 is an apocalyptic number.

29814820 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 29814820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36013824).

29814820 is an abundant number, since it is smaller than the sum of its proper divisors (42212828).

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

29814820 is a wasteful number, since it uses less digits than its factorization.

29814820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 29814820 is about 5460.2948638329. The cubic root of 29814820 is about 310.0826002575.

The spelling of 29814820 in words is "twenty-nine million, eight hundred fourteen thousand, eight hundred twenty".