86681952 has 288 divisors, whose sum is σ = 310302720. Its totient is φ = 22394880.

The previous prime is 86681941. The next prime is 86681953. The reversal of 86681952 is 25918668.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (207360) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 86681898 and 86681907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86681953) 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 47 ways as a sum of consecutive naturals, for example, 1187388 + ... + 1187460.

It is an arithmetic number, because the mean of its divisors is an integer number (1077440).

Almost surely, 2^86681952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

86681952 is an abundant number, since it is smaller than the sum of its proper divisors (223620768).

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

86681952 is a wasteful number, since it uses less digits than its factorization.

86681952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 86681952 is about 9310.3142804097. The cubic root of 86681952 is about 442.5641465945.

The spelling of 86681952 in words is "eighty-six million, six hundred eighty-one thousand, nine hundred fifty-two".