85007520 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 19740672.

The previous prime is 85007491. The next prime is 85007557. The reversal of 85007520 is 2570058.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355561 + ... + 355799.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^85007520 is an apocalyptic number.

85007520 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 85007520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

85007520 is an abundant number, since it is smaller than the sum of its proper divisors (245213280).

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

85007520 is a wasteful number, since it uses less digits than its factorization.

85007520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 85007520 is about 9219.9522775338. The cubic root of 85007520 is about 439.6959331704.

Adding to 85007520 its reverse (2570058), we get a palindrome (87577578).

The spelling of 85007520 in words is "eighty-five million, seven thousand, five hundred twenty".