86271780 has 144 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 18648576.

The previous prime is 86271769. The next prime is 86271793. The reversal of 86271780 is 8717268.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 151336 + ... + 151904.

It is an arithmetic number, because the mean of its divisors is an integer number (2026920).

Almost surely, 2^86271780 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 86271780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

86271780 is an abundant number, since it is smaller than the sum of its proper divisors (205604700).

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

86271780 is a wasteful number, since it uses less digits than its factorization.

86271780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 86271780 is about 9288.2603322689. The cubic root of 86271780 is about 441.8649833647.

The spelling of 86271780 in words is "eighty-six million, two hundred seventy-one thousand, seven hundred eighty".