20629152 has 72 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 6785664.

The previous prime is 20629127. The next prime is 20629153. The reversal of 20629152 is 25192602.

20629152 is a `hidden beast` number, since 20 + 629 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20629153) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23473 + ... + 24335.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^20629152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20629152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

20629152 is an abundant number, since it is smaller than the sum of its proper divisors (38810592).

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

20629152 is a wasteful number, since it uses less digits than its factorization.

20629152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20629152 is about 4541.9326282982. The cubic root of 20629152 is about 274.2587287439.

The spelling of 20629152 in words is "twenty million, six hundred twenty-nine thousand, one hundred fifty-two".