20629760 has 72 divisors (see below), whose sum is σ = 50331456. Its totient is φ = 8099840.

The previous prime is 20629751. The next prime is 20629783. The reversal of 20629760 is 6792602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90767 + ... + 90993.

It is an arithmetic number, because the mean of its divisors is an integer number (699048).

Almost surely, 2^20629760 is an apocalyptic number.

20629760 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 20629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165728).

20629760 is an abundant number, since it is smaller than the sum of its proper divisors (29701696).

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

20629760 is an equidigital number, since it uses as much as digits as its factorization.

20629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 20629760 is about 4541.9995596653. Note that the first 3 decimals coincide. The cubic root of 20629760 is about 274.2614231133.

20629760 divided by its sum of digits (32) gives a triangular number (644680 = T₁₁₃₅).

The spelling of 20629760 in words is "twenty million, six hundred twenty-nine thousand, seven hundred sixty".