86905629 has 20 divisors (see below), whose sum is σ = 130118560. Its totient is φ = 57804840.

The previous prime is 86905619. The next prime is 86905657. The reversal of 86905629 is 92650968.

86905629 is a `hidden beast` number, since 86 + 9 + 0 + 562 + 9 = 666.

It is not a de Polignac number, because 86905629 - 2⁴ = 86905613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86905619) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 45312 + ... + 47190.

It is an arithmetic number, because the mean of its divisors is an integer number (6505928).

Almost surely, 2^86905629 is an apocalyptic number.

It is an amenable number.

86905629 is a deficient number, since it is larger than the sum of its proper divisors (43212931).

86905629 is a wasteful number, since it uses less digits than its factorization.

86905629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 86905629 is about 9322.3188638879. The cubic root of 86905629 is about 442.9444887275.

The spelling of 86905629 in words is "eighty-six million, nine hundred five thousand, six hundred twenty-nine".