85644048 has 120 divisors (see below), whose sum is σ = 262854208. Its totient is φ = 23521536.

The previous prime is 85644017. The next prime is 85644059. The reversal of 85644048 is 84044658.

It is a junction number, because it is equal to n+sod(n) for n = 85643997 and 85644015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031815 + ... + 1031897.

Almost surely, 2^85644048 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 85644048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131427104).

85644048 is an abundant number, since it is smaller than the sum of its proper divisors (177210160).

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

85644048 is a wasteful number, since it uses less digits than its factorization.

85644048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 85644048 is about 9254.4069502049. The cubic root of 85644048 is about 440.7906719897.

The spelling of 85644048 in words is "eighty-five million, six hundred forty-four thousand, forty-eight".