8272508240 has 20 divisors (see below), whose sum is σ = 19233581844. Its totient is φ = 3309003264.

The previous prime is 8272508221. The next prime is 8272508243. The reversal of 8272508240 is 428052728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4664343616 + 3608164624 = 68296^2 + 60068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8272508194 and 8272508203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272508243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51703097 + ... + 51703256.

Almost surely, 2^8272508240 is an apocalyptic number.

8272508240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8272508240 is an abundant number, since it is smaller than the sum of its proper divisors (10961073604).

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

8272508240 is a wasteful number, since it uses less digits than its factorization.

8272508240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103406366 (or 103406360 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 8272508240 is about 90953.3300105059. The cubic root of 8272508240 is about 2022.4559416879.

The spelling of 8272508240 in words is "eight billion, two hundred seventy-two million, five hundred eight thousand, two hundred forty".