85013580 has 96 divisors (see below), whose sum is σ = 247129344. Its totient is φ = 21821184.

The previous prime is 85013567. The next prime is 85013603. The reversal of 85013580 is 8531058.

85013580 = T₅ + T₆ + ... + T₇₉₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213942 + ... + 214338.

It is an arithmetic number, because the mean of its divisors is an integer number (2574264).

Almost surely, 2^85013580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85013580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123564672).

85013580 is an abundant number, since it is smaller than the sum of its proper divisors (162115764).

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

85013580 is a wasteful number, since it uses less digits than its factorization.

85013580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 85013580 is about 9220.2809067837. The cubic root of 85013580 is about 439.7063812423.

The spelling of 85013580 in words is "eighty-five million, thirteen thousand, five hundred eighty".