86195970 has 144 divisors (see below), whose sum is σ = 271028160. Its totient is φ = 18615744.

The previous prime is 86195959. The next prime is 86195987. The reversal of 86195970 is 7959168.

86195970 = T₄₇₆ + T₄₇₇ + ... + T₈₅₄.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227241 + ... + 227619.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2^86195970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86195970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

86195970 is an abundant number, since it is smaller than the sum of its proper divisors (184832190).

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

86195970 is a wasteful number, since it uses less digits than its factorization.

86195970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 86195970 is about 9284.1784773883. The cubic root of 86195970 is about 441.7355180823.

The spelling of 86195970 in words is "eighty-six million, one hundred ninety-five thousand, nine hundred seventy".