86587340 has 96 divisors (see below), whose sum is σ = 218308608. Its totient is φ = 28224000.

The previous prime is 86587339. The next prime is 86587349. The reversal of 86587340 is 4378568.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86587349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308000 + ... + 308280.

It is an arithmetic number, because the mean of its divisors is an integer number (2274048).

Almost surely, 2^86587340 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 86587340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109154304).

86587340 is an abundant number, since it is smaller than the sum of its proper divisors (131721268).

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

86587340 is a wasteful number, since it uses less digits than its factorization.

86587340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 86587340 is about 9305.2318617002. The cubic root of 86587340 is about 442.4030706862.

The spelling of 86587340 in words is "eighty-six million, five hundred eighty-seven thousand, three hundred forty".