86460640 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 26320896.

The previous prime is 86460631. The next prime is 86460667. The reversal of 86460640 is 4606468.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 86460596 and 86460605.

It is a congruent number.

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, 361641 + ... + 361879.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^86460640 is an apocalyptic number.

86460640 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 86460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

86460640 is an abundant number, since it is smaller than the sum of its proper divisors (174812960).

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

86460640 is a wasteful number, since it uses less digits than its factorization.

86460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 86460640 is about 9298.4213713942. The cubic root of 86460640 is about 442.1871814229.

It can be divided in two parts, 864 and 60640, that added together give a square (61504 = 248²).

The spelling of 86460640 in words is "eighty-six million, four hundred sixty thousand, six hundred forty".