85683640 has 64 divisors (see below), whose sum is σ = 222543360. Its totient is φ = 29082240.

The previous prime is 85683623. The next prime is 85683641. The reversal of 85683640 is 4638658.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85683593 and 85683602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85683641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27355 + ... + 30325.

It is an arithmetic number, because the mean of its divisors is an integer number (3477240).

Almost surely, 2^85683640 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 85683640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111271680).

85683640 is an abundant number, since it is smaller than the sum of its proper divisors (136859720).

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

85683640 is a wasteful number, since it uses less digits than its factorization.

85683640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 85683640 is about 9256.5457920328. The cubic root of 85683640 is about 440.8585852351.

The spelling of 85683640 in words is "eighty-five million, six hundred eighty-three thousand, six hundred forty".