86966272 has 34 divisors (see below), whose sum is σ = 174062288. Its totient is φ = 43450368.

The previous prime is 86966251. The next prime is 86966293. The reversal of 86966272 is 27266968.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86966251) and next prime (86966293).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64873 + ... + 66199.

Almost surely, 2^86966272 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 86966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87031144).

86966272 is an abundant number, since it is smaller than the sum of its proper divisors (87096016).

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

86966272 is an frugal number, since it uses more digits than its factorization.

86966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1329 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 86966272 is about 9325.5708672445. The cubic root of 86966272 is about 443.0474940884.

The spelling of 86966272 in words is "eighty-six million, nine hundred sixty-six thousand, two hundred seventy-two".