86378436 has 27 divisors (see below), whose sum is σ = 218486541. Its totient is φ = 28774224.

The previous prime is 86378423. The next prime is 86378437. The reversal of 86378436 is 63487368.

The square root of 86378436 is 9294.

It is a perfect power (a square), and thus also a powerful number.

86378436 is a `hidden beast` number, since 8 + 637 + 8 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29224836 + 57153600 = 5406^2 + 7560^2 .

It is a super-2 number, since 2×86378436² = 14922468411612192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86378391 and 86378400.

It is not an unprimeable number, because it can be changed into a prime (86378437) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 54990 + ... + 56538.

Almost surely, 2^86378436 is an apocalyptic number.

86378436 is the 9294-th square number.

It is an amenable number.

86378436 is an abundant number, since it is smaller than the sum of its proper divisors (132108105).

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

86378436 is a wasteful number, since it uses less digits than its factorization.

86378436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 1554 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The cubic root of 86378436 is about 442.0469978622.

The spelling of 86378436 in words is "eighty-six million, three hundred seventy-eight thousand, four hundred thirty-six".