86765952 has 192 divisors, whose sum is σ = 286709760. Its totient is φ = 22763520.

The previous prime is 86765947. The next prime is 86765953. The reversal of 86765952 is 25956768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (907200) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86765953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454177 + ... + 454367.

It is an arithmetic number, because the mean of its divisors is an integer number (1493280).

Almost surely, 2^86765952 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 86765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143354880).

86765952 is an abundant number, since it is smaller than the sum of its proper divisors (199943808).

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

86765952 is a wasteful number, since it uses less digits than its factorization.

86765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 86765952 is about 9314.8243139632. The cubic root of 86765952 is about 442.7070574909.

The spelling of 86765952 in words is "eighty-six million, seven hundred sixty-five thousand, nine hundred fifty-two".