85148240 has 80 divisors (see below), whose sum is σ = 211606992. Its totient is φ = 31752192.

The previous prime is 85148237. The next prime is 85148251. The reversal of 85148240 is 4284158.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8690704 + 76457536 = 2948^2 + 8744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 85148197 and 85148206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186092 + ... + 186548.

Almost surely, 2^85148240 is an apocalyptic number.

85148240 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 85148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105803496).

85148240 is an abundant number, since it is smaller than the sum of its proper divisors (126458752).

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

85148240 is a wasteful number, since it uses less digits than its factorization.

85148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 85148240 is about 9227.5803979158. The cubic root of 85148240 is about 439.9384211344.

The spelling of 85148240 in words is "eighty-five million, one hundred forty-eight thousand, two hundred forty".