20626560 has 96 divisors (see below), whose sum is σ = 71245980. Its totient is φ = 5498880.

The previous prime is 20626547. The next prime is 20626589. The reversal of 20626560 is 6562602.

20626560 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 484416 = 4488^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 3970 + ... + 7550.

Almost surely, 2^20626560 is an apocalyptic number.

20626560 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 20626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622990).

20626560 is an abundant number, since it is smaller than the sum of its proper divisors (50619420).

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

20626560 is a wasteful number, since it uses less digits than its factorization.

20626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20626560 is about 4541.6472782461. The cubic root of 20626560 is about 274.2472416277.

The spelling of 20626560 in words is "twenty million, six hundred twenty-six thousand, five hundred sixty".