85505976 has 64 divisors (see below), whose sum is σ = 238291200. Its totient is φ = 28409184.

The previous prime is 85505969. The next prime is 85505977. The reversal of 85505976 is 67950558.

85505976 is a `hidden beast` number, since 8 + 5 + 50 + 597 + 6 = 666.

It is a super-2 number, since 2×85505976² = 14622543863425152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85505977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108255 + ... + 109041.

It is an arithmetic number, because the mean of its divisors is an integer number (3723300).

Almost surely, 2^85505976 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 85505976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119145600).

85505976 is an abundant number, since it is smaller than the sum of its proper divisors (152785224).

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

85505976 is a wasteful number, since it uses less digits than its factorization.

85505976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 85505976 is about 9246.9441438780. The cubic root of 85505976 is about 440.5536693949.

The spelling of 85505976 in words is "eighty-five million, five hundred five thousand, nine hundred seventy-six".