85452096 has 112 divisors (see below), whose sum is σ = 237744000. Its totient is φ = 27052032.

The previous prime is 85452083. The next prime is 85452109. The reversal of 85452096 is 69025458.

It is an interprime number because it is at equal distance from previous prime (85452083) and next prime (85452109).

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, 573430 + ... + 573578.

Almost surely, 2^85452096 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 85452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872000).

85452096 is an abundant number, since it is smaller than the sum of its proper divisors (152291904).

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

85452096 is a wasteful number, since it uses less digits than its factorization.

85452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 85452096 is about 9244.0302898682. The cubic root of 85452096 is about 440.4611143853.

The spelling of 85452096 in words is "eighty-five million, four hundred fifty-two thousand, ninety-six".