85667964 has 48 divisors (see below), whose sum is σ = 212341248. Its totient is φ = 26788608.

The previous prime is 85667963. The next prime is 85667969. The reversal of 85667964 is 46976658.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85667963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93999 + ... + 94905.

It is an arithmetic number, because the mean of its divisors is an integer number (4423776).

Almost surely, 2^85667964 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 85667964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106170624).

85667964 is an abundant number, since it is smaller than the sum of its proper divisors (126673284).

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

85667964 is a wasteful number, since it uses less digits than its factorization.

85667964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 85667964 is about 9255.6990011560. The cubic root of 85667964 is about 440.8316982639.

The spelling of 85667964 in words is "eighty-five million, six hundred sixty-seven thousand, nine hundred sixty-four".