85340952 has 160 divisors (see below), whose sum is σ = 259269120. Its totient is φ = 26127360.

The previous prime is 85340929. The next prime is 85340987. The reversal of 85340952 is 25904358.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671913 + ... + 672039.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^85340952 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 85340952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

85340952 is an abundant number, since it is smaller than the sum of its proper divisors (173928168).

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

85340952 is a wasteful number, since it uses less digits than its factorization.

85340952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85340952 is about 9238.0166702599. The cubic root of 85340952 is about 440.2700683601.

The spelling of 85340952 in words is "eighty-five million, three hundred forty thousand, nine hundred fifty-two".