85634040 has 64 divisors (see below), whose sum is σ = 260760960. Its totient is φ = 22492800.

The previous prime is 85634033. The next prime is 85634041. The reversal of 85634040 is 4043658.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 85633989 and 85634007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85634041) 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, 2715 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (4074390).

Almost surely, 2^85634040 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 85634040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130380480).

85634040 is an abundant number, since it is smaller than the sum of its proper divisors (175126920).

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

85634040 is a wasteful number, since it uses less digits than its factorization.

85634040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 85634040 is about 9253.8662190460. The cubic root of 85634040 is about 440.7735016784.

Adding to 85634040 its reverse (4043658), we get a palindrome (89677698).

The spelling of 85634040 in words is "eighty-five million, six hundred thirty-four thousand, forty".