85241520 has 240 divisors, whose sum is σ = 352602432. Its totient is φ = 17971200.

The previous prime is 85241491. The next prime is 85241521. The reversal of 85241520 is 2514258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×85241520² = 14532233463820800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85241521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64870 + ... + 66170.

Almost surely, 2^85241520 is an apocalyptic number.

85241520 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 85241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

85241520 is an abundant number, since it is smaller than the sum of its proper divisors (267360912).

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

85241520 is a wasteful number, since it uses less digits than its factorization.

85241520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85241520 is about 9232.6334271431. The cubic root of 85241520 is about 440.0990135299.

Adding to 85241520 its reverse (2514258), we get a palindrome (87755778).

The spelling of 85241520 in words is "eighty-five million, two hundred forty-one thousand, five hundred twenty".