86526552 has 128 divisors (see below), whose sum is σ = 263808000. Its totient is φ = 23595264.

The previous prime is 86526521. The next prime is 86526553. The reversal of 86526552 is 25562568.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86526552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86526553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189108 + ... + 189564.

It is an arithmetic number, because the mean of its divisors is an integer number (2061000).

Almost surely, 2^86526552 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 86526552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131904000).

86526552 is an abundant number, since it is smaller than the sum of its proper divisors (177281448).

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

86526552 is a wasteful number, since it uses less digits than its factorization.

86526552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 86526552 is about 9301.9649537074. The cubic root of 86526552 is about 442.2995178512.

It can be divided in two parts, 86526 and 552, that added together give a palindrome (87078).

The spelling of 86526552 in words is "eighty-six million, five hundred twenty-six thousand, five hundred fifty-two".