85946580 has 54 divisors (see below), whose sum is σ = 261082458. Its totient is φ = 22885920.

The previous prime is 85946533. The next prime is 85946587. The reversal of 85946580 is 8564958.

85946580 is a `hidden beast` number, since 8 + 594 + 6 + 58 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68757264 + 17189316 = 8292^2 + 4146^2 .

It is a super-2 number, since 2×85946580² = 14773629227392800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85946587) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124035 + ... + 124725.

Almost surely, 2^85946580 is an apocalyptic number.

It is an amenable number.

85946580 is an abundant number, since it is smaller than the sum of its proper divisors (175135878).

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

85946580 is a wasteful number, since it uses less digits than its factorization.

85946580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85946580 is about 9270.7378347141. The cubic root of 85946580 is about 441.3090834595.

Multiplying 85946580 by its sum of digits (45), we get a square (3867596100 = 62190²).

85946580 divided by its sum of digits (45) gives a square (1909924 = 1382²).

The spelling of 85946580 in words is "eighty-five million, nine hundred forty-six thousand, five hundred eighty".