85921248 has 48 divisors (see below), whose sum is σ = 257765760. Its totient is φ = 24548736.

The previous prime is 85921193. The next prime is 85921271. The reversal of 85921248 is 84212958.

It is a tau number, because it is divible by the number of its divisors (48).

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, 63258 + ... + 64601.

It is an arithmetic number, because the mean of its divisors is an integer number (5370120).

Almost surely, 2^85921248 is an apocalyptic number.

It is an amenable number.

85921248 is an abundant number, since it is smaller than the sum of its proper divisors (171844512).

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

85921248 is a wasteful number, since it uses less digits than its factorization.

85921248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127879 (or 127871 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 85921248 is about 9269.3714997296. The cubic root of 85921248 is about 441.2657218729.

The spelling of 85921248 in words is "eighty-five million, nine hundred twenty-one thousand, two hundred forty-eight".