85702848 has 336 divisors, whose sum is σ = 311334912. Its totient is φ = 20275200.

The previous prime is 85702829. The next prime is 85702867. The reversal of 85702848 is 84820758.

It is an interprime number because it is at equal distance from previous prime (85702829) and next prime (85702867).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×85702848² = 14689956310622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2764593 + ... + 2764623.

It is an arithmetic number, because the mean of its divisors is an integer number (926592).

Almost surely, 2^85702848 is an apocalyptic number.

85702848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85702848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

85702848 is an abundant number, since it is smaller than the sum of its proper divisors (225632064).

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

85702848 is a wasteful number, since it uses less digits than its factorization.

85702848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 85702848 is about 9257.5832699469. The cubic root of 85702848 is about 440.8915257085.

The spelling of 85702848 in words is "eighty-five million, seven hundred two thousand, eight hundred forty-eight".