85131648 has 384 divisors, whose sum is σ = 320785920. Its totient is φ = 21897216.

The previous prime is 85131643. The next prime is 85131653. The reversal of 85131648 is 84613158.

85131648 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (85131643) and next prime (85131653).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85131643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701365 + ... + 3701387.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^85131648 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 85131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

85131648 is an abundant number, since it is smaller than the sum of its proper divisors (235654272).

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

85131648 is a wasteful number, since it uses less digits than its factorization.

85131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 85131648 is about 9226.6813102003. The cubic root of 85131648 is about 439.9098437872.

The spelling of 85131648 in words is "eighty-five million, one hundred thirty-one thousand, six hundred forty-eight".