85275456 has 112 divisors (see below), whose sum is σ = 261981696. Its totient is φ = 23975424.

The previous prime is 85275431. The next prime is 85275479. The reversal of 85275456 is 65457258.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89575 + ... + 90521.

Almost surely, 2^85275456 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 85275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130990848).

85275456 is an abundant number, since it is smaller than the sum of its proper divisors (176706240).

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

85275456 is a wasteful number, since it uses less digits than its factorization.

85275456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 85275456 is about 9234.4710731043. The cubic root of 85275456 is about 440.1574092451.

The spelling of 85275456 in words is "eighty-five million, two hundred seventy-five thousand, four hundred fifty-six".