87086766 has 32 divisors (see below), whose sum is σ = 197447040. Its totient is φ = 25385184.

The previous prime is 87086759. The next prime is 87086777. The reversal of 87086766 is 66768078.

It is a super-3 number, since 3×87086766³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27900 + ... + 30863.

It is an arithmetic number, because the mean of its divisors is an integer number (6170220).

Almost surely, 2^87086766 is an apocalyptic number.

87086766 is an abundant number, since it is smaller than the sum of its proper divisors (110360274).

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

87086766 is a wasteful number, since it uses less digits than its factorization.

87086766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58800.

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 87086766 is about 9332.0290398177. The cubic root of 87086766 is about 443.2520175482.

The spelling of 87086766 in words is "eighty-seven million, eighty-six thousand, seven hundred sixty-six".