85864944 has 40 divisors (see below), whose sum is σ = 241984512. Its totient is φ = 26019520.

The previous prime is 85864939. The next prime is 85864949. The reversal of 85864944 is 44946858.

It is an interprime number because it is at equal distance from previous prime (85864939) and next prime (85864949).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 85864893 and 85864902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85864949) 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 7 ways as a sum of consecutive naturals, for example, 80784 + ... + 81839.

Almost surely, 2^85864944 is an apocalyptic number.

It is an amenable number.

85864944 is an abundant number, since it is smaller than the sum of its proper divisors (156119568).

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

85864944 is a wasteful number, since it uses less digits than its factorization.

85864944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162645 (or 162639 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 85864944 is about 9266.3339028982. Note that the first 3 decimals coincide. The cubic root of 85864944 is about 441.1693140005.

It can be divided in two parts, 8586 and 4944, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 85864944 in words is "eighty-five million, eight hundred sixty-four thousand, nine hundred forty-four".