8272160820 has 288 divisors, whose sum is σ = 32049029376. Its totient is φ = 1676851200.

The previous prime is 8272160761. The next prime is 8272160837. The reversal of 8272160820 is 280612728.

It is a happy number.

8272160820 is a `hidden beast` number, since 8 + 2 + 7 + 21 + 608 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 560982 + ... + 575538.

It is an arithmetic number, because the mean of its divisors is an integer number (111281352).

Almost surely, 2^8272160820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272160820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024514688).

8272160820 is an abundant number, since it is smaller than the sum of its proper divisors (23776868556).

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

8272160820 is a wasteful number, since it uses less digits than its factorization.

8272160820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631 (or 14626 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8272160820 is about 90951.4201098586. The cubic root of 8272160820 is about 2022.4276289739.

The spelling of 8272160820 in words is "eight billion, two hundred seventy-two million, one hundred sixty thousand, eight hundred twenty".