86748288 has 96 divisors (see below), whose sum is σ = 253412880. Its totient is φ = 26273280.

The previous prime is 86748287. The next prime is 86748293. The reversal of 86748288 is 88284768.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86748288.

It is not an unprimeable number, because it can be changed into a prime (86748287) 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 11 ways as a sum of consecutive naturals, for example, 45531 + ... + 47397.

Almost surely, 2^86748288 is an apocalyptic number.

86748288 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 86748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126706440).

86748288 is an abundant number, since it is smaller than the sum of its proper divisors (166664592).

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

86748288 is a wasteful number, since it uses less digits than its factorization.

86748288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1883 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 86748288 is about 9313.8760996698. The cubic root of 86748288 is about 442.6770130322.

The spelling of 86748288 in words is "eighty-six million, seven hundred forty-eight thousand, two hundred eighty-eight".