85118040 has 256 divisors, whose sum is σ = 330624000. Its totient is φ = 19315584.

The previous prime is 85118039. The next prime is 85118083. The reversal of 85118040 is 4081158.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 85117995 and 85118013.

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 63 ways as a sum of consecutive naturals, for example, 612291 + ... + 612429.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 2^85118040 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 85118040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312000).

85118040 is an abundant number, since it is smaller than the sum of its proper divisors (245505960).

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

85118040 is a wasteful number, since it uses less digits than its factorization.

85118040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85118040 is about 9225.9438541539. The cubic root of 85118040 is about 439.8864031816.

Adding to 85118040 its reverse (4081158), we get a palindrome (89199198).

The spelling of 85118040 in words is "eighty-five million, one hundred eighteen thousand, forty".