85535892 has 48 divisors (see below), whose sum is σ = 238822080. Its totient is φ = 26318304.

The previous prime is 85535869. The next prime is 85535903. The reversal of 85535892 is 29853558.

85535892 is a `hidden beast` number, since 8 + 553 + 5 + 8 + 92 = 666.

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 15 ways as a sum of consecutive naturals, for example, 29058 + ... + 31865.

It is an arithmetic number, because the mean of its divisors is an integer number (4975460).

Almost surely, 2^85535892 is an apocalyptic number.

It is an amenable number.

85535892 is an abundant number, since it is smaller than the sum of its proper divisors (153286188).

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

85535892 is a wasteful number, since it uses less digits than its factorization.

85535892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60949 (or 60941 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 85535892 is about 9248.5616178950. The cubic root of 85535892 is about 440.6050422830.

The spelling of 85535892 in words is "eighty-five million, five hundred thirty-five thousand, eight hundred ninety-two".