85542642 has 20 divisors (see below), whose sum is σ = 191679246. Its totient is φ = 28514160.

The previous prime is 85542637. The next prime is 85542643. The reversal of 85542642 is 24624558.

It is a happy number.

85542642 is a `hidden beast` number, since 8 + 5 + 5 + 4 + 2 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80838081 + 4704561 = 8991^2 + 2169^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85542597 and 85542606.

It is not an unprimeable number, because it can be changed into a prime (85542643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 263859 + ... + 264182.

Almost surely, 2^85542642 is an apocalyptic number.

85542642 is an abundant number, since it is smaller than the sum of its proper divisors (106136604).

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

85542642 is a wasteful number, since it uses less digits than its factorization.

85542642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528055 (or 528046 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 85542642 is about 9248.9265323063. The cubic root of 85542642 is about 440.6166319823.

The spelling of 85542642 in words is "eighty-five million, five hundred forty-two thousand, six hundred forty-two".