86161488 has 80 divisors (see below), whose sum is σ = 255459840. Its totient is φ = 24513408.

The previous prime is 86161393. The next prime is 86161489. The reversal of 86161488 is 88416168.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86161489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116223 + ... + 116961.

It is an arithmetic number, because the mean of its divisors is an integer number (3193248).

Almost surely, 2^86161488 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 86161488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127729920).

86161488 is an abundant number, since it is smaller than the sum of its proper divisors (169298352).

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

86161488 is a wasteful number, since it uses less digits than its factorization.

86161488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 86161488 is about 9282.3212614087. The cubic root of 86161488 is about 441.6766059865.

The spelling of 86161488 in words is "eighty-six million, one hundred sixty-one thousand, four hundred eighty-eight".