86055040 has 128 divisors (see below), whose sum is σ = 218116800. Its totient is φ = 32428032.

The previous prime is 86054999. The next prime is 86055041. The reversal of 86055040 is 4055068.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (86055041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458531 + ... + 1458589.

Almost surely, 2^86055040 is an apocalyptic number.

86055040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109058400).

86055040 is an abundant number, since it is smaller than the sum of its proper divisors (132061760).

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

86055040 is a wasteful number, since it uses less digits than its factorization.

86055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 86055040 is about 9276.5855787569. The cubic root of 86055040 is about 441.4946416019.

Adding to 86055040 its sum of digits (28), we get a palindrome (86055068).

It can be divided in two parts, 860 and 55040, that multiplied together give a square (47334400 = 6880²).

The spelling of 86055040 in words is "eighty-six million, fifty-five thousand, forty".