86026752 has 240 divisors, whose sum is σ = 298552320. Its totient is φ = 24385536.

The previous prime is 86026747. The next prime is 86026771. The reversal of 86026752 is 25762068.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677313 + ... + 677439.

It is an arithmetic number, because the mean of its divisors is an integer number (1243968).

Almost surely, 2^86026752 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 86026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

86026752 is an abundant number, since it is smaller than the sum of its proper divisors (212525568).

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

86026752 is a wasteful number, since it uses less digits than its factorization.

86026752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86026752 is about 9275.0607545180. The cubic root of 86026752 is about 441.4462602825.

The spelling of 86026752 in words is "eighty-six million, twenty-six thousand, seven hundred fifty-two".