86405904 has 120 divisors (see below), whose sum is σ = 263571672. Its totient is φ = 26265600.

The previous prime is 86405903. The next prime is 86405923. The reversal of 86405904 is 40950468.

86405904 is a `hidden beast` number, since 8 + 64 + 0 + 590 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35426304 + 50979600 = 5952^2 + 7140^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

86405904 is a modest number, since divided by 5904 gives 864 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86405903) 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 23 ways as a sum of consecutive naturals, for example, 188844 + ... + 189300.

Almost surely, 2^86405904 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 86405904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131785836).

86405904 is an abundant number, since it is smaller than the sum of its proper divisors (177165768).

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

86405904 is a wasteful number, since it uses less digits than its factorization.

86405904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86405904 is about 9295.4776101070. The cubic root of 86405904 is about 442.0938492936.

The spelling of 86405904 in words is "eighty-six million, four hundred five thousand, nine hundred four".