85152420 has 72 divisors (see below), whose sum is σ = 261012024. Its totient is φ = 22468608.

The previous prime is 85152409. The next prime is 85152451. The reversal of 85152420 is 2425158.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 82410084 = 1656^2 + 9078^2 .

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 23 ways as a sum of consecutive naturals, for example, 15022 + ... + 19898.

It is an arithmetic number, because the mean of its divisors is an integer number (3625167).

Almost surely, 2^85152420 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 85152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130506012).

85152420 is an abundant number, since it is smaller than the sum of its proper divisors (175859604).

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

85152420 is a wasteful number, since it uses less digits than its factorization.

85152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85152420 is about 9227.8068900471. The cubic root of 85152420 is about 439.9456200012.

Adding to 85152420 its reverse (2425158), we get a palindrome (87577578).

The spelling of 85152420 in words is "eighty-five million, one hundred fifty-two thousand, four hundred twenty".