86261526 has 48 divisors (see below), whose sum is σ = 205981776. Its totient is φ = 25921728.

The previous prime is 86261509. The next prime is 86261531. The reversal of 86261526 is 62516268.

86261526 is a `hidden beast` number, since 8 + 626 + 1 + 5 + 26 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5776 + ... + 14348.

It is an arithmetic number, because the mean of its divisors is an integer number (4291287).

Almost surely, 2^86261526 is an apocalyptic number.

86261526 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 86261526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102990888).

86261526 is an abundant number, since it is smaller than the sum of its proper divisors (119720250).

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

86261526 is a wasteful number, since it uses less digits than its factorization.

86261526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637 (or 8634 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 86261526 is about 9287.7083287537. The cubic root of 86261526 is about 441.8474764307.

It can be divided in two parts, 862615 and 26, that added together give a triangular number (862641 = T₁₃₁₃).

The spelling of 86261526 in words is "eighty-six million, two hundred sixty-one thousand, five hundred twenty-six".