85138240 has 168 divisors, whose sum is σ = 236902752. Its totient is φ = 28892160.

The previous prime is 85138217. The next prime is 85138241. The reversal of 85138240 is 4283158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85138241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270687 + ... + 1270753.

Almost surely, 2^85138240 is an apocalyptic number.

85138240 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 85138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118451376).

85138240 is an abundant number, since it is smaller than the sum of its proper divisors (151764512).

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

85138240 is a wasteful number, since it uses less digits than its factorization.

85138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 85138240 is about 9227.0385281519. The cubic root of 85138240 is about 439.9211980090.

The spelling of 85138240 in words is "eighty-five million, one hundred thirty-eight thousand, two hundred forty".