86413392 has 200 divisors, whose sum is σ = 282315264. Its totient is φ = 25318656.

The previous prime is 86413391. The next prime is 86413421. The reversal of 86413392 is 29331468.

86413392 is a `hidden beast` number, since 8 + 641 + 3 + 3 + 9 + 2 = 666.

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).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86413391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 387393 + ... + 387615.

Almost surely, 2^86413392 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 86413392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157632).

86413392 is an abundant number, since it is smaller than the sum of its proper divisors (195901872).

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

86413392 is a wasteful number, since it uses less digits than its factorization.

86413392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 86413392 is about 9295.8803778878. The cubic root of 86413392 is about 442.1066196521.

The spelling of 86413392 in words is "eighty-six million, four hundred thirteen thousand, three hundred ninety-two".