86456772 has 36 divisors (see below), whose sum is σ = 226082220. Its totient is φ = 27824832.

The previous prime is 86456767. The next prime is 86456813. The reversal of 86456772 is 27765468.

86456772 is a `hidden beast` number, since 86 + 4 + 567 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54375876 + 32080896 = 7374^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 40363 + ... + 42450.

Almost surely, 2^86456772 is an apocalyptic number.

It is an amenable number.

86456772 is an abundant number, since it is smaller than the sum of its proper divisors (139625448).

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

86456772 is a wasteful number, since it uses less digits than its factorization.

86456772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82852 (or 82847 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 86456772 is about 9298.2133767730. The cubic root of 86456772 is about 442.1805872643.

The spelling of 86456772 in words is "eighty-six million, four hundred fifty-six thousand, seven hundred seventy-two".