86700768 has 192 divisors, whose sum is σ = 292336128. Its totient is φ = 21841920.

The previous prime is 86700767. The next prime is 86700793.

86700768 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86700763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 273346 + ... + 273662.

It is an arithmetic number, because the mean of its divisors is an integer number (1522584).

Almost surely, 2^86700768 is an apocalyptic number.

86700768 is a gapful number since it is divisible by the number (88) 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 86700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146168064).

86700768 is an abundant number, since it is smaller than the sum of its proper divisors (205635360).

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

86700768 is a wasteful number, since it uses less digits than its factorization.

86700768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 86700768 is about 9311.3247177832. The cubic root of 86700768 is about 442.5961666568.

It can be divided in two parts, 86700 and 768, that multiplied together give a square (66585600 = 8160²).

The spelling of 86700768 in words is "eighty-six million, seven hundred thousand, seven hundred sixty-eight".