86503440 has 160 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 21975040.

The previous prime is 86503397. The next prime is 86503451. The reversal of 86503440 is 4430568.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86503398 and 86503407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580486 + ... + 580634.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^86503440 is an apocalyptic number.

86503440 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 86503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

86503440 is an abundant number, since it is smaller than the sum of its proper divisors (194728560).

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

86503440 is a wasteful number, since it uses less digits than its factorization.

86503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 86503440 is about 9300.7225525762. The cubic root of 86503440 is about 442.2601336524.

It can be divided in two parts, 8650 and 3440, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 86503440 in words is "eighty-six million, five hundred three thousand, four hundred forty".