86362440 has 128 divisors (see below), whose sum is σ = 271848960. Its totient is φ = 21924864.

The previous prime is 86362439. The next prime is 86362457. The reversal of 86362440 is 4426368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235137 + ... + 235503.

It is an arithmetic number, because the mean of its divisors is an integer number (2123820).

Almost surely, 2^86362440 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 86362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135924480).

86362440 is an abundant number, since it is smaller than the sum of its proper divisors (185486520).

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

86362440 is a wasteful number, since it uses less digits than its factorization.

86362440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 86362440 is about 9293.1394049589. The cubic root of 86362440 is about 442.0197093373.

It can be divided in two parts, 86 and 362440, that added together give a triangular number (362526 = T₈₅₁).

The spelling of 86362440 in words is "eighty-six million, three hundred sixty-two thousand, four hundred forty".