85348920 has 64 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 22696064.

The previous prime is 85348903. The next prime is 85348927. The reversal of 85348920 is 2984358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85348927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55279 + ... + 56801.

It is an arithmetic number, because the mean of its divisors is an integer number (4011930).

Almost surely, 2^85348920 is an apocalyptic number.

It is an amenable number.

85348920 is an abundant number, since it is smaller than the sum of its proper divisors (171414600).

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

85348920 is a wasteful number, since it uses less digits than its factorization.

85348920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 85348920 is about 9238.4479215938. The cubic root of 85348920 is about 440.2837701162.

It can be divided in two parts, 85348 and 920, that added together give a palindrome (86268).

The spelling of 85348920 in words is "eighty-five million, three hundred forty-eight thousand, nine hundred twenty".