29618020 has 72 divisors (see below), whose sum is σ = 68064192. Its totient is φ = 10802880.

The previous prime is 29618009. The next prime is 29618023. The reversal of 29618020 is 2081692.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29618020.

It is not an unprimeable number, because it can be changed into a prime (29618023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442027 + ... + 442093.

It is an arithmetic number, because the mean of its divisors is an integer number (945336).

Almost surely, 2^29618020 is an apocalyptic number.

29618020 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 29618020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34032096).

29618020 is an abundant number, since it is smaller than the sum of its proper divisors (38446172).

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

29618020 is a wasteful number, since it uses less digits than its factorization.

29618020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 29618020 is about 5442.2440224599. The cubic root of 29618020 is about 309.3988349490.

The spelling of 29618020 in words is "twenty-nine million, six hundred eighteen thousand, twenty".