86010528 has 48 divisors (see below), whose sum is σ = 226267776. Its totient is φ = 28608000.

The previous prime is 86010479. The next prime is 86010541. The reversal of 86010528 is 82501068.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 86010495 and 86010504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71500 + ... + 72692.

It is an arithmetic number, because the mean of its divisors is an integer number (4713912).

Almost surely, 2^86010528 is an apocalyptic number.

It is an amenable number.

86010528 is an abundant number, since it is smaller than the sum of its proper divisors (140257248).

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

86010528 is a wasteful number, since it uses less digits than its factorization.

86010528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 86010528 is about 9274.1861098427. The cubic root of 86010528 is about 441.4185073869.

The spelling of 86010528 in words is "eighty-six million, ten thousand, five hundred twenty-eight".