85827360 has 48 divisors (see below), whose sum is σ = 270357696. Its totient is φ = 22887168.

The previous prime is 85827353. The next prime is 85827367. The reversal of 85827360 is 6372858.

It is an interprime number because it is at equal distance from previous prime (85827353) and next prime (85827367).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (85827367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88924 + ... + 89883.

It is an arithmetic number, because the mean of its divisors is an integer number (5632452).

Almost surely, 2^85827360 is an apocalyptic number.

85827360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85827360 is an abundant number, since it is smaller than the sum of its proper divisors (184530336).

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

85827360 is a wasteful number, since it uses less digits than its factorization.

85827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178825 (or 178817 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 85827360 is about 9264.3056944382. The cubic root of 85827360 is about 441.1049364384.

The spelling of 85827360 in words is "eighty-five million, eight hundred twenty-seven thousand, three hundred sixty".