86944968 has 256 divisors, whose sum is σ = 288921600. Its totient is φ = 23950080.

The previous prime is 86944961. The next prime is 86944973.

86944968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86944961) 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 63 ways as a sum of consecutive naturals, for example, 2021955 + ... + 2021997.

It is an arithmetic number, because the mean of its divisors is an integer number (1128600).

Almost surely, 2^86944968 is an apocalyptic number.

86944968 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 86944968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

86944968 is an abundant number, since it is smaller than the sum of its proper divisors (201976632).

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

86944968 is a wasteful number, since it uses less digits than its factorization.

86944968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 86944968 is about 9324.4285615795. The cubic root of 86944968 is about 443.0113135691.

The spelling of 86944968 in words is "eighty-six million, nine hundred forty-four thousand, nine hundred sixty-eight".