21029008 has 120 divisors (see below), whose sum is σ = 55550016. Its totient is φ = 7488000.

The previous prime is 21029003. The next prime is 21029033. The reversal of 21029008 is 80092012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 21029008.

It is not an unprimeable number, because it can be changed into a prime (21029003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208158 + ... + 208258.

Almost surely, 2^21029008 is an apocalyptic number.

21029008 is a gapful number since it is divisible by the number (28) 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 21029008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27775008).

21029008 is an abundant number, since it is smaller than the sum of its proper divisors (34521008).

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

21029008 is a wasteful number, since it uses less digits than its factorization.

21029008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 21029008 is about 4585.7396349989. The cubic root of 21029008 is about 276.0193923222.

The spelling of 21029008 in words is "twenty-one million, twenty-nine thousand, eight".