29825820 has 216 divisors, whose sum is σ = 104845104. Its totient is φ = 7091712.

The previous prime is 29825773. The next prime is 29825821. The reversal of 29825820 is 2852892.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29825821) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1569771 + ... + 1569789.

It is an arithmetic number, because the mean of its divisors is an integer number (485394).

Almost surely, 2^29825820 is an apocalyptic number.

29825820 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 29825820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422552).

29825820 is an abundant number, since it is smaller than the sum of its proper divisors (75019284).

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

29825820 is a wasteful number, since it uses less digits than its factorization.

29825820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 29825820 is about 5461.3020425536. The cubic root of 29825820 is about 310.1207299439.

The spelling of 29825820 in words is "twenty-nine million, eight hundred twenty-five thousand, eight hundred twenty".