82637568 has 216 divisors, whose sum is σ = 267845760. Its totient is φ = 24330240.

The previous prime is 82637567. The next prime is 82637573. The reversal of 82637568 is 86573628.

82637568 is a `hidden beast` number, since 8 + 2 + 637 + 5 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82637567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928468 + ... + 928556.

Almost surely, 2^82637568 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 82637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

82637568 is an abundant number, since it is smaller than the sum of its proper divisors (185208192).

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

82637568 is a wasteful number, since it uses less digits than its factorization.

82637568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82637568 is about 9090.5207771612. The cubic root of 82637568 is about 435.5712194530.

The spelling of 82637568 in words is "eighty-two million, six hundred thirty-seven thousand, five hundred sixty-eight".