86340456 has 96 divisors (see below), whose sum is σ = 244408320. Its totient is φ = 27504000.

The previous prime is 86340451. The next prime is 86340461. The reversal of 86340456 is 65404368.

It is an interprime number because it is at equal distance from previous prime (86340451) and next prime (86340461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86340456.

It is not an unprimeable number, because it can be changed into a prime (86340451) 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 23 ways as a sum of consecutive naturals, for example, 225241 + ... + 225623.

It is an arithmetic number, because the mean of its divisors is an integer number (2545920).

Almost surely, 2^86340456 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 86340456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204160).

86340456 is an abundant number, since it is smaller than the sum of its proper divisors (158067864).

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

86340456 is a wasteful number, since it uses less digits than its factorization.

86340456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 86340456 is about 9291.9565216374. The cubic root of 86340456 is about 441.9822000298.

The spelling of 86340456 in words is "eighty-six million, three hundred forty thousand, four hundred fifty-six".