29712820 has 24 divisors (see below), whose sum is σ = 64549800. Its totient is φ = 11475072.

The previous prime is 29712797. The next prime is 29712829. The reversal of 29712820 is 2821792.

It can be written as a sum of positive squares in 4 ways, for example, as 682276 + 29030544 = 826^2 + 5388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29712829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25035 + ... + 26194.

It is an arithmetic number, because the mean of its divisors is an integer number (2689575).

Almost surely, 2^29712820 is an apocalyptic number.

29712820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29712820 is an abundant number, since it is smaller than the sum of its proper divisors (34836980).

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

29712820 is a wasteful number, since it uses less digits than its factorization.

29712820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51267 (or 51265 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 29712820 is about 5450.9467067657. The cubic root of 29712820 is about 309.7285865811.

The spelling of 29712820 in words is "twenty-nine million, seven hundred twelve thousand, eight hundred twenty".