85710624 has 48 divisors (see below), whose sum is σ = 227082240. Its totient is φ = 28304640.

The previous prime is 85710619. The next prime is 85710637. The reversal of 85710624 is 42601758.

85710624 = 3082² + 3083² + ... + 3090².

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

It is a super-2 number, since 2×85710624² = 14692622132938752, which contains 22 as substring.

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, 6369 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (4730880).

Almost surely, 2^85710624 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 85710624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113541120).

85710624 is an abundant number, since it is smaller than the sum of its proper divisors (141371616).

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

85710624 is a wasteful number, since it uses less digits than its factorization.

85710624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 85710624 is about 9258.0032404401. The cubic root of 85710624 is about 440.9048596444.

The spelling of 85710624 in words is "eighty-five million, seven hundred ten thousand, six hundred twenty-four".