86751264 has 96 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 27143424.

The previous prime is 86751263. The next prime is 86751293. The reversal of 86751264 is 46215768.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (86751263) 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, 362857 + ... + 363095.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2^86751264 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 86751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

86751264 is an abundant number, since it is smaller than the sum of its proper divisors (155168736).

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

86751264 is a wasteful number, since it uses less digits than its factorization.

86751264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 86751264 is about 9314.0358599267. The cubic root of 86751264 is about 442.6820751560.

The spelling of 86751264 in words is "eighty-six million, seven hundred fifty-one thousand, two hundred sixty-four".