20629752 has 64 divisors (see below), whose sum is σ = 60600960. Its totient is φ = 5769600.

The previous prime is 20629751. The next prime is 20629783. The reversal of 20629752 is 25792602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20629751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427 + ... + 6437.

It is an arithmetic number, because the mean of its divisors is an integer number (946890).

Almost surely, 2^20629752 is an apocalyptic number.

20629752 is a gapful number since it is divisible by the number (22) 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 20629752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30300480).

20629752 is an abundant number, since it is smaller than the sum of its proper divisors (39971208).

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

20629752 is a wasteful number, since it uses less digits than its factorization.

20629752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20629752 is about 4541.9986789958. The cubic root of 20629752 is about 274.2613876615.

The spelling of 20629752 in words is "twenty million, six hundred twenty-nine thousand, seven hundred fifty-two".