85963248 has 240 divisors, whose sum is σ = 298552320. Its totient is φ = 23587200.

The previous prime is 85963219. The next prime is 85963249. The reversal of 85963248 is 84236958.

85963248 is a `hidden beast` number, since 8 + 5 + 9 + 632 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85963249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656143 + ... + 656273.

It is an arithmetic number, because the mean of its divisors is an integer number (1243968).

Almost surely, 2^85963248 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 85963248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

85963248 is an abundant number, since it is smaller than the sum of its proper divisors (212589072).

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

85963248 is a wasteful number, since it uses less digits than its factorization.

85963248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85963248 is about 9271.6367487084. The cubic root of 85963248 is about 441.3376099556.

The spelling of 85963248 in words is "eighty-five million, nine hundred sixty-three thousand, two hundred forty-eight".