86940945 has 120 divisors (see below), whose sum is σ = 195819624. Its totient is φ = 36578304.

The previous prime is 86940937. The next prime is 86940947. The reversal of 86940945 is 54904968.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 86936976 = 63^2 + 9324^2 .

It is not a de Polignac number, because 86940945 - 2³ = 86940937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86940945.

It is not an unprimeable number, because it can be changed into a prime (86940947) 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 119 ways as a sum of consecutive naturals, for example, 257817 + ... + 258153.

Almost surely, 2^86940945 is an apocalyptic number.

It is an amenable number.

86940945 is an abundant number, since it is smaller than the sum of its proper divisors (108878679).

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

86940945 is a wasteful number, since it uses less digits than its factorization.

86940945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 86940945 is about 9324.2128354087. The cubic root of 86940945 is about 443.0044806569.

It can be divided in two parts, 869 and 40945, that added together give a palindrome (41814).

The spelling of 86940945 in words is "eighty-six million, nine hundred forty thousand, nine hundred forty-five".