86306640 has 240 divisors, whose sum is σ = 320604480. Its totient is φ = 19138560.

The previous prime is 86306537. The next prime is 86306651. The reversal of 86306640 is 4660368.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×86306640² = 14897672216179200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482071 + ... + 482249.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^86306640 is an apocalyptic number.

86306640 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 86306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

86306640 is an abundant number, since it is smaller than the sum of its proper divisors (234297840).

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

86306640 is a wasteful number, since it uses less digits than its factorization.

86306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 86306640 is about 9290.1367051298. The cubic root of 86306640 is about 441.9244904213.

The spelling of 86306640 in words is "eighty-six million, three hundred six thousand, six hundred forty".