86526000 has 480 divisors, whose sum is σ = 362119680. Its totient is φ = 19008000.

The previous prime is 86525987. The next prime is 86526001. The reversal of 86526000 is 62568.

86526000 is a `hidden beast` number, since 8 + 6 + 52 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86526001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3761989 + ... + 3762011.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^86526000 is an apocalyptic number.

86526000 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 86526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

86526000 is an abundant number, since it is smaller than the sum of its proper divisors (275593680).

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

86526000 is a wasteful number, since it uses less digits than its factorization.

86526000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 86526000 is about 9301.9352825098. The cubic root of 86526000 is about 442.2985772927.

Adding to 86526000 its reverse (62568), we get a palindrome (86588568).

The spelling of 86526000 in words is "eighty-six million, five hundred twenty-six thousand".