86945712 has 80 divisors (see below), whose sum is σ = 265578240. Its totient is φ = 23982336.

The previous prime is 86945689. The next prime is 86945713. The reversal of 86945712 is 21754968.

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

It is not an unprimeable number, because it can be changed into a prime (86945713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283 + ... + 14205.

It is an arithmetic number, because the mean of its divisors is an integer number (3319728).

Almost surely, 2^86945712 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 86945712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132789120).

86945712 is an abundant number, since it is smaller than the sum of its proper divisors (178632528).

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

86945712 is a wasteful number, since it uses less digits than its factorization.

86945712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8964 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 86945712 is about 9324.4684567004. The cubic root of 86945712 is about 443.0125772017.

The spelling of 86945712 in words is "eighty-six million, nine hundred forty-five thousand, seven hundred twelve".