86541440 has 32 divisors (see below), whose sum is σ = 206889660. Its totient is φ = 34616320.

The previous prime is 86541431. The next prime is 86541443. The reversal of 86541440 is 4414568.

It can be written as a sum of positive squares in 2 ways, for example, as 85082176 + 1459264 = 9224^2 + 1208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 86541397 and 86541406.

It is not an unprimeable number, because it can be changed into a prime (86541443) 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 3 ways as a sum of consecutive naturals, for example, 66971 + ... + 68250.

Almost surely, 2^86541440 is an apocalyptic number.

86541440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86541440 is an abundant number, since it is smaller than the sum of its proper divisors (120348220).

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

86541440 is a wasteful number, since it uses less digits than its factorization.

86541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135240 (or 135228 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 86541440 is about 9302.7651803106. The cubic root of 86541440 is about 442.3248841595.

The spelling of 86541440 in words is "eighty-six million, five hundred forty-one thousand, four hundred forty".