85006776 has 32 divisors (see below), whose sum is σ = 217702800. Its totient is φ = 27644160.

The previous prime is 85006771. The next prime is 85006793. The reversal of 85006776 is 67760058.

85006776 = 284² + 285² + ... + 652².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85006771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42211 + ... + 44178.

Almost surely, 2^85006776 is an apocalyptic number.

It is an amenable number.

85006776 is an abundant number, since it is smaller than the sum of its proper divisors (132696024).

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

85006776 is a wasteful number, since it uses less digits than its factorization.

85006776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86439 (or 86435 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 85006776 is about 9219.9119301651. The cubic root of 85006776 is about 439.6946504026.

The spelling of 85006776 in words is "eighty-five million, six thousand, seven hundred seventy-six".