86440410 has 144 divisors (see below), whose sum is σ = 277056936. Its totient is φ = 18579456.

The previous prime is 86440397. The next prime is 86440411. The reversal of 86440410 is 1404468.

86440410 is a `hidden beast` number, since 8 + 644 + 0 + 4 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84217329 + 2223081 = 9177^2 + 1491^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86440411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74394 + ... + 75546.

Almost surely, 2^86440410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86440410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138528468).

86440410 is an abundant number, since it is smaller than the sum of its proper divisors (190616526).

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

86440410 is a wasteful number, since it uses less digits than its factorization.

86440410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 86440410 is about 9297.3334886945. Note that the first 3 decimals coincide. The cubic root of 86440410 is about 442.1526911838.

Adding to 86440410 its reverse (1404468), we get a palindrome (87844878).

The spelling of 86440410 in words is "eighty-six million, four hundred forty thousand, four hundred ten".