86412096 has 140 divisors (see below), whose sum is σ = 260624320. Its totient is φ = 28304640.

The previous prime is 86412091. The next prime is 86412107. The reversal of 86412096 is 69021468.

86412096 is a `hidden beast` number, since 8 + 641 + 2 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×86412096² = 14934100670226432, which contains 22 as substring.

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 86412096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86412091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409431 + ... + 409641.

Almost surely, 2^86412096 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 86412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130312160).

86412096 is an abundant number, since it is smaller than the sum of its proper divisors (174212224).

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

86412096 is a wasteful number, since it uses less digits than its factorization.

86412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86412096 is about 9295.8106693284. The cubic root of 86412096 is about 442.1044094506.

The spelling of 86412096 in words is "eighty-six million, four hundred twelve thousand, ninety-six".