86211920 has 40 divisors (see below), whose sum is σ = 204234696. Its totient is φ = 33832448.

The previous prime is 86211919. The next prime is 86211941. The reversal of 86211920 is 2911268.

It can be written as a sum of positive squares in 4 ways, for example, as 38987536 + 47224384 = 6244^2 + 6872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5927 + ... + 14406.

Almost surely, 2^86211920 is an apocalyptic number.

86211920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86211920 is an abundant number, since it is smaller than the sum of its proper divisors (118022776).

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

86211920 is a wasteful number, since it uses less digits than its factorization.

86211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20399 (or 20393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 86211920 is about 9285.0374258804. The cubic root of 86211920 is about 441.7627631572.

The spelling of 86211920 in words is "eighty-six million, two hundred eleven thousand, nine hundred twenty".