86552000 has 112 divisors (see below), whose sum is σ = 221894400. Its totient is φ = 33408000.

The previous prime is 86551987. The next prime is 86552003. The reversal of 86552000 is 25568.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86552003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247826 + ... + 248174.

It is an arithmetic number, because the mean of its divisors is an integer number (1981200).

Almost surely, 2^86552000 is an apocalyptic number.

86552000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110947200).

86552000 is an abundant number, since it is smaller than the sum of its proper divisors (135342400).

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

86552000 is a wasteful number, since it uses less digits than its factorization.

86552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 86552000 is about 9303.3327361758. The cubic root of 86552000 is about 442.3428746189.

Adding to 86552000 its reverse (25568), we get a palindrome (86577568).

The spelling of 86552000 in words is "eighty-six million, five hundred fifty-two thousand".