86195340 has 240 divisors, whose sum is σ = 337607424. Its totient is φ = 17884800.

The previous prime is 86195323. The next prime is 86195353. The reversal of 86195340 is 4359168.

86195340 is a `hidden beast` number, since 8 + 619 + 5 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86195295 and 86195304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124395 + ... + 125085.

Almost surely, 2^86195340 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 86195340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168803712).

86195340 is an abundant number, since it is smaller than the sum of its proper divisors (251412084).

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

86195340 is a wasteful number, since it uses less digits than its factorization.

86195340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86195340 is about 9284.1445486377. The cubic root of 86195340 is about 441.7344418756.

The spelling of 86195340 in words is "eighty-six million, one hundred ninety-five thousand, three hundred forty".