8260628544 has 189 divisors, whose sum is σ = 27594336861. Its totient is φ = 2355816960.

The previous prime is 8260628507. The next prime is 8260628581. The reversal of 8260628544 is 4458260628.

The square root of 8260628544 is 90888.

It is a perfect power (a square), and thus also a powerful number.

8260628544 is a `hidden beast` number, since 82 + 6 + 0 + 6 + 28 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (8260628507) and next prime (8260628581).

It can be written as a sum of positive squares in only one way, i.e., 3281914944 + 4978713600 = 57288^2 + 70560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8260628544.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15268914 + ... + 15269454.

Almost surely, 2^8260628544 is an apocalyptic number.

8260628544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8260628544 is the 90888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260628544

8260628544 is an abundant number, since it is smaller than the sum of its proper divisors (19333708317).

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

8260628544 is an equidigital number, since it uses as much as digits as its factorization.

8260628544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The cubic root of 8260628544 is about 2021.4873651638.

It can be divided in two parts, 8260 and 628544, that added together give a square (636804 = 798²).

The spelling of 8260628544 in words is "eight billion, two hundred sixty million, six hundred twenty-eight thousand, five hundred forty-four".