8210626560 has 480 divisors, whose sum is σ = 31037806800. Its totient is φ = 2070282240.

The previous prime is 8210626553. The next prime is 8210626583. The reversal of 8210626560 is 656260128.

8210626560 is a `hidden beast` number, since 8 + 21 + 0 + 626 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759100 + ... + 15759620.

Almost surely, 2^8210626560 is an apocalyptic number.

8210626560 is a gapful number since it is divisible by the number (80) 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 8210626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518903400).

8210626560 is an abundant number, since it is smaller than the sum of its proper divisors (22827180240).

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

8210626560 is a wasteful number, since it uses less digits than its factorization.

8210626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8210626560 is about 90612.5077458957. The cubic root of 8210626560 is about 2017.4003875584.

Adding to 8210626560 its reverse (656260128), we get a palindrome (8866886688).

The spelling of 8210626560 in words is "eight billion, two hundred ten million, six hundred twenty-six thousand, five hundred sixty".