8287561072 has 80 divisors (see below), whose sum is σ = 19008872640. Its totient is φ = 3424813056.

The previous prime is 8287561063. The next prime is 8287561127. The reversal of 8287561072 is 2701657828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3743838 + ... + 3746050.

It is an arithmetic number, because the mean of its divisors is an integer number (237610908).

Almost surely, 2^8287561072 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 8287561072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504436320).

8287561072 is an abundant number, since it is smaller than the sum of its proper divisors (10721311568).

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

8287561072 is a wasteful number, since it uses less digits than its factorization.

8287561072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 8287561072 is about 91036.0427083691. The cubic root of 8287561072 is about 2023.6818996824.

The spelling of 8287561072 in words is "eight billion, two hundred eighty-seven million, five hundred sixty-one thousand, seventy-two".