86828616 has 48 divisors (see below), whose sum is σ = 268756800. Its totient is φ = 24808032.

The previous prime is 86828591. The next prime is 86828641. The reversal of 86828616 is 61682868.

86828616 is a `hidden beast` number, since 8 + 6 + 8 + 28 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (86828591) and next prime (86828641).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85636 + ... + 86643.

It is an arithmetic number, because the mean of its divisors is an integer number (5599100).

Almost surely, 2^86828616 is an apocalyptic number.

It is an amenable number.

86828616 is an abundant number, since it is smaller than the sum of its proper divisors (181928184).

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

86828616 is a wasteful number, since it uses less digits than its factorization.

86828616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172298 (or 172291 counting only the distinct ones).

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

The square root of 86828616 is about 9318.1873773819. The cubic root of 86828616 is about 442.8136089608.

The spelling of 86828616 in words is "eighty-six million, eight hundred twenty-eight thousand, six hundred sixteen".