85530060 has 384 divisors, whose sum is σ = 354170880. Its totient is φ = 16727040.

The previous prime is 85530047. The next prime is 85530091. The reversal of 85530060 is 6003558.

85530060 = T₁₇₃₆ + T₁₇₃₇ + ... + T₁₇₉₀.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5031172 + ... + 5031188.

It is an arithmetic number, because the mean of its divisors is an integer number (922320).

Almost surely, 2^85530060 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 85530060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

85530060 is an abundant number, since it is smaller than the sum of its proper divisors (268640820).

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

85530060 is a wasteful number, since it uses less digits than its factorization.

85530060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85530060 is about 9248.2463202490. The cubic root of 85530060 is about 440.5950282918.

The spelling of 85530060 in words is "eighty-five million, five hundred thirty thousand, sixty".