86068752 has 240 divisors, whose sum is σ = 292897920. Its totient is φ = 21288960.

The previous prime is 86068751. The next prime is 86068753. The reversal of 86068752 is 25786068.

It is an interprime number because it is at equal distance from previous prime (86068751) and next prime (86068753).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (86068751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178988 + ... + 1179060.

It is an arithmetic number, because the mean of its divisors is an integer number (1220408).

Almost surely, 2^86068752 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 86068752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146448960).

86068752 is an abundant number, since it is smaller than the sum of its proper divisors (206829168).

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

86068752 is a wasteful number, since it uses less digits than its factorization.

86068752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 86068752 is about 9277.3246143487. The cubic root of 86068752 is about 441.5180895914.

The spelling of 86068752 in words is "eighty-six million, sixty-eight thousand, seven hundred fifty-two".