29168020 has 48 divisors (see below), whose sum is σ = 71342208. Its totient is φ = 9809280.

The previous prime is 29168011. The next prime is 29168023. The reversal of 29168020 is 2086192.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 29168020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29168023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5455 + ... + 9385.

It is an arithmetic number, because the mean of its divisors is an integer number (1486296).

Almost surely, 2^29168020 is an apocalyptic number.

29168020 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 29168020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35671104).

29168020 is an abundant number, since it is smaller than the sum of its proper divisors (42174188).

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

29168020 is a wasteful number, since it uses less digits than its factorization.

29168020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3998 counting only the distinct ones).

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

The square root of 29168020 is about 5400.7425415400. The cubic root of 29168020 is about 307.8238859368.

The spelling of 29168020 in words is "twenty-nine million, one hundred sixty-eight thousand, twenty".