85253760 has 288 divisors, whose sum is σ = 318279780. Its totient is φ = 21012480.

The previous prime is 85253743. The next prime is 85253771. The reversal of 85253760 is 6735258.

It can be written as a sum of positive squares in 2 ways, for example, as 75064896 + 10188864 = 8664^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 2079340 + ... + 2079380.

Almost surely, 2^85253760 is an apocalyptic number.

85253760 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 85253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159139890).

85253760 is an abundant number, since it is smaller than the sum of its proper divisors (233026020).

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

85253760 is a wasteful number, since it uses less digits than its factorization.

85253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85253760 is about 9233.2962694804. The cubic root of 85253760 is about 440.1200774203.

The spelling of 85253760 in words is "eighty-five million, two hundred fifty-three thousand, seven hundred sixty".