86015440 has 80 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 29329920.

The previous prime is 86015431. The next prime is 86015453. The reversal of 86015440 is 4451068.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 86015399 and 86015408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150355 + ... + 150925.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^86015440 is an apocalyptic number.

86015440 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 86015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

86015440 is an abundant number, since it is smaller than the sum of its proper divisors (143791280).

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

86015440 is a wasteful number, since it uses less digits than its factorization.

86015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 86015440 is about 9274.4509271439. The cubic root of 86015440 is about 441.4269102591.

It can be divided in two parts, 8601 and 5440, that added together give a palindrome (14041).

The spelling of 86015440 in words is "eighty-six million, fifteen thousand, four hundred forty".