85567944 has 128 divisors (see below), whose sum is σ = 280857600. Its totient is φ = 21047040.

The previous prime is 85567903. The next prime is 85567957. The reversal of 85567944 is 44976558.

It is a junction number, because it is equal to n+sod(n) for n = 85567893 and 85567902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33894 + ... + 36330.

It is an arithmetic number, because the mean of its divisors is an integer number (2194200).

Almost surely, 2^85567944 is an apocalyptic number.

85567944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85567944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140428800).

85567944 is an abundant number, since it is smaller than the sum of its proper divisors (195289656).

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

85567944 is a wasteful number, since it uses less digits than its factorization.

85567944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2479 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 85567944 is about 9250.2942655896. The cubic root of 85567944 is about 440.6600699012.

The spelling of 85567944 in words is "eighty-five million, five hundred sixty-seven thousand, nine hundred forty-four".