85185740 has 48 divisors (see below), whose sum is σ = 189124320. Its totient is φ = 32140800.

The previous prime is 85185739. The next prime is 85185757. The reversal of 85185740 is 4758158.

It is a super-2 number, since 2×85185740² = 14513220598695200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 85185694 and 85185703.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141440 + ... + 142040.

It is an arithmetic number, because the mean of its divisors is an integer number (3940090).

Almost surely, 2^85185740 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 85185740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94562160).

85185740 is an abundant number, since it is smaller than the sum of its proper divisors (103938580).

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

85185740 is a wasteful number, since it uses less digits than its factorization.

85185740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 85185740 is about 9229.6121261947. The cubic root of 85185740 is about 440.0029958474.

The spelling of 85185740 in words is "eighty-five million, one hundred eighty-five thousand, seven hundred forty".