85382352 has 120 divisors (see below), whose sum is σ = 274491360. Its totient is φ = 24503040.

The previous prime is 85382329. The next prime is 85382357. The reversal of 85382352 is 25328358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85382357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28678 + ... + 31514.

It is an arithmetic number, because the mean of its divisors is an integer number (2287428).

Almost surely, 2^85382352 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 85382352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137245680).

85382352 is an abundant number, since it is smaller than the sum of its proper divisors (189109008).

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

85382352 is a wasteful number, since it uses less digits than its factorization.

85382352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2872 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85382352 is about 9240.2571392792. The cubic root of 85382352 is about 440.3412504198.

85382352 divided by its sum of digits (36) gives a palindrome (2371732).

The spelling of 85382352 in words is "eighty-five million, three hundred eighty-two thousand, three hundred fifty-two".