86682440 has 64 divisors (see below), whose sum is σ = 212511600. Its totient is φ = 31629312.

The previous prime is 86682383. The next prime is 86682443. The reversal of 86682440 is 4428668.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 155236 + 86527204 = 394^2 + 9302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86682394 and 86682403.

It is not an unprimeable number, because it can be changed into a prime (86682443) 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, 45344 + ... + 47216.

Almost surely, 2^86682440 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 86682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106255800).

86682440 is an abundant number, since it is smaller than the sum of its proper divisors (125829160).

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

86682440 is a wasteful number, since it uses less digits than its factorization.

86682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 86682440 is about 9310.3404878662. The cubic root of 86682440 is about 442.5649771053.

The spelling of 86682440 in words is "eighty-six million, six hundred eighty-two thousand, four hundred forty".