86618628 has 36 divisors (see below), whose sum is σ = 224873740. Its totient is φ = 28092096.

The previous prime is 86618611. The next prime is 86618629. The reversal of 86618628 is 82681668.

86618628 is a `hidden beast` number, since 8 + 6 + 6 + 18 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 2566404 = 9168^2 + 1602^2 .

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

It is not an unprimeable number, because it can be changed into a prime (86618629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31183 + ... + 33846.

Almost surely, 2^86618628 is an apocalyptic number.

It is an amenable number.

86618628 is an abundant number, since it is smaller than the sum of its proper divisors (138255112).

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

86618628 is a wasteful number, since it uses less digits than its factorization.

86618628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65076 (or 65071 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 86618628 is about 9306.9129146028. The cubic root of 86618628 is about 442.4563511480.

The spelling of 86618628 in words is "eighty-six million, six hundred eighteen thousand, six hundred twenty-eight".