20629680 has 80 divisors (see below), whose sum is σ = 65472000. Its totient is φ = 5370624.

The previous prime is 20629657. The next prime is 20629691. The reversal of 20629680 is 8692602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9321 + ... + 11319.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 2^20629680 is an apocalyptic number.

20629680 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 20629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736000).

20629680 is an abundant number, since it is smaller than the sum of its proper divisors (44842320).

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

20629680 is a wasteful number, since it uses less digits than its factorization.

20629680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20629680 is about 4541.9907529628. The cubic root of 20629680 is about 274.2610685941.

The spelling of 20629680 in words is "twenty million, six hundred twenty-nine thousand, six hundred eighty".