85677663 has 16 divisors (see below), whose sum is σ = 118089216. Its totient is φ = 55222080.

The previous prime is 85677661. The next prime is 85677673. The reversal of 85677663 is 36677658.

It is not a de Polignac number, because 85677663 - 2¹ = 85677661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85677661) 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, 8043 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (7380576).

Almost surely, 2^85677663 is an apocalyptic number.

85677663 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

85677663 is a deficient number, since it is larger than the sum of its proper divisors (32411553).

85677663 is a wasteful number, since it uses less digits than its factorization.

85677663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454.

The product of its digits is 1270080, while the sum is 48.

The square root of 85677663 is about 9256.2229337889. Note that the first 3 decimals coincide. The cubic root of 85677663 is about 440.8483340637.

The spelling of 85677663 in words is "eighty-five million, six hundred seventy-seven thousand, six hundred sixty-three".