85441920 has 64 divisors (see below), whose sum is σ = 272352240. Its totient is φ = 22784000.

The previous prime is 85441913. The next prime is 85441931. The reversal of 85441920 is 2914458.

It is a tau number, because it is divible by the number of its divisors (64).

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, 20331 + ... + 24170.

Almost surely, 2^85441920 is an apocalyptic number.

85441920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85441920 is an abundant number, since it is smaller than the sum of its proper divisors (186910320).

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

85441920 is a wasteful number, since it uses less digits than its factorization.

85441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44523 (or 44511 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 85441920 is about 9243.4798642070. The cubic root of 85441920 is about 440.4436296953.

The spelling of 85441920 in words is "eighty-five million, four hundred forty-one thousand, nine hundred twenty".