29726820 has 72 divisors (see below), whose sum is σ = 90679680. Its totient is φ = 7882560.

The previous prime is 29726813. The next prime is 29726821. The reversal of 29726820 is 2862792.

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 (29726821) 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, 42675 + ... + 43365.

It is an arithmetic number, because the mean of its divisors is an integer number (1259440).

Almost surely, 2^29726820 is an apocalyptic number.

29726820 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 29726820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45339840).

29726820 is an abundant number, since it is smaller than the sum of its proper divisors (60952860).

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

29726820 is a wasteful number, since it uses less digits than its factorization.

29726820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29726820 is about 5452.2307361299. The cubic root of 29726820 is about 309.7772246140. Note that the first 3 decimals are identical.

The spelling of 29726820 in words is "twenty-nine million, seven hundred twenty-six thousand, eight hundred twenty".