85369760 has 72 divisors (see below), whose sum is σ = 234635940. Its totient is φ = 29266944.

The previous prime is 85369747. The next prime is 85369763. The reversal of 85369760 is 6796358.

It can be written as a sum of positive squares in 2 ways, for example, as 73891216 + 11478544 = 8596^2 + 3388^2 .

It is not an unprimeable number, because it can be changed into a prime (85369763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2396 + ... + 13284.

Almost surely, 2^85369760 is an apocalyptic number.

85369760 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 85369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117317970).

85369760 is an abundant number, since it is smaller than the sum of its proper divisors (149266180).

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

85369760 is a wasteful number, since it uses less digits than its factorization.

85369760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 85369760 is about 9239.5757478360. The cubic root of 85369760 is about 440.3196025051.

The spelling of 85369760 in words is "eighty-five million, three hundred sixty-nine thousand, seven hundred sixty".