85671264 has 48 divisors (see below), whose sum is σ = 257015808. Its totient is φ = 24477312.

The previous prime is 85671253. The next prime is 85671277. The reversal of 85671264 is 46217658.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63072 + ... + 64415.

It is an arithmetic number, because the mean of its divisors is an integer number (5354496).

Almost surely, 2^85671264 is an apocalyptic number.

85671264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85671264 is an abundant number, since it is smaller than the sum of its proper divisors (171344544).

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

85671264 is a wasteful number, since it uses less digits than its factorization.

85671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127507 (or 127499 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 85671264 is about 9255.8772679849. The cubic root of 85671264 is about 440.8373585903.

The spelling of 85671264 in words is "eighty-five million, six hundred seventy-one thousand, two hundred sixty-four".