86681484 has 36 divisors (see below), whose sum is σ = 219950640. Its totient is φ = 28783200.

The previous prime is 86681467. The next prime is 86681501. The reversal of 86681484 is 48418668.

86681484 = T₂₇₇ + T₂₇₈ + ... + T₈₁₄.

It is an interprime number because it is at equal distance from previous prime (86681467) and next prime (86681501).

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 5209 + ... + 14159.

It is an arithmetic number, because the mean of its divisors is an integer number (6109740).

Almost surely, 2^86681484 is an apocalyptic number.

It is an amenable number.

86681484 is an abundant number, since it is smaller than the sum of its proper divisors (133269156).

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

86681484 is a wasteful number, since it uses less digits than its factorization.

86681484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9225 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 86681484 is about 9310.2891469599. The cubic root of 86681484 is about 442.5633501181.

The spelling of 86681484 in words is "eighty-six million, six hundred eighty-one thousand, four hundred eighty-four".