8272623040 has 112 divisors (see below), whose sum is σ = 21635618400. Its totient is φ = 2987847680.

The previous prime is 8272623001. The next prime is 8272623041. The reversal of 8272623040 is 403262728.

It is a junction number, because it is equal to n+sod(n) for n = 8272622987 and 8272623005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272623041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516594 + ... + 532366.

Almost surely, 2^8272623040 is an apocalyptic number.

8272623040 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 8272623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817809200).

8272623040 is an abundant number, since it is smaller than the sum of its proper divisors (13362995360).

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

8272623040 is a wasteful number, since it uses less digits than its factorization.

8272623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 8272623040 is about 90953.9611012077. The cubic root of 8272623040 is about 2022.4652970475.

Adding to 8272623040 its reverse (403262728), we get a palindrome (8675885768).

The spelling of 8272623040 in words is "eight billion, two hundred seventy-two million, six hundred twenty-three thousand, forty".