29825220 has 96 divisors (see below), whose sum is σ = 86873472. Its totient is φ = 7641088.

The previous prime is 29825207. The next prime is 29825233. The reversal of 29825220 is 2252892.

It is an interprime number because it is at equal distance from previous prime (29825207) and next prime (29825233).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 263884 + ... + 263996.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^29825220 is an apocalyptic number.

29825220 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 29825220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436736).

29825220 is an abundant number, since it is smaller than the sum of its proper divisors (57048252).

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

29825220 is a wasteful number, since it uses less digits than its factorization.

29825220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 29825220 is about 5461.2471103220. The cubic root of 29825220 is about 310.1186503846.

The spelling of 29825220 in words is "twenty-nine million, eight hundred twenty-five thousand, two hundred twenty".