86161140 has 72 divisors (see below), whose sum is σ = 281467368. Its totient is φ = 21208320.

The previous prime is 86161139. The next prime is 86161147. The reversal of 86161140 is 4116168.

86161140 is a `hidden beast` number, since 8 + 6 + 1 + 611 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 86044176 = 342^2 + 9276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86161147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16071 + ... + 20750.

It is an arithmetic number, because the mean of its divisors is an integer number (3909269).

Almost surely, 2^86161140 is an apocalyptic number.

It is an amenable number.

86161140 is an abundant number, since it is smaller than the sum of its proper divisors (195306228).

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

86161140 is a wasteful number, since it uses less digits than its factorization.

86161140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36849 (or 36844 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 86161140 is about 9282.3025160786. The cubic root of 86161140 is about 441.6760113525.

It can be divided in two parts, 861 and 61140, that added together give a square (62001 = 249²).

The spelling of 86161140 in words is "eighty-six million, one hundred sixty-one thousand, one hundred forty".