86661920 has 96 divisors (see below), whose sum is σ = 219252096. Its totient is φ = 32256000.

The previous prime is 86661901. The next prime is 86661923. The reversal of 86661920 is 2916668.

It is not an unprimeable number, because it can be changed into a prime (86661923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410615 + ... + 410825.

It is an arithmetic number, because the mean of its divisors is an integer number (2283876).

Almost surely, 2^86661920 is an apocalyptic number.

86661920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109626048).

86661920 is an abundant number, since it is smaller than the sum of its proper divisors (132590176).

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

86661920 is a wasteful number, since it uses less digits than its factorization.

86661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 86661920 is about 9309.2384221267. The cubic root of 86661920 is about 442.5300521154.

The spelling of 86661920 in words is "eighty-six million, six hundred sixty-one thousand, nine hundred twenty".