85034640 has 80 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 22503936.

The previous prime is 85034623. The next prime is 85034687. The reversal of 85034640 is 4643058.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 85034598 and 85034607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32086 + ... + 34634.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^85034640 is an apocalyptic number.

85034640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

85034640 is an abundant number, since it is smaller than the sum of its proper divisors (180573360).

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

85034640 is a wasteful number, since it uses less digits than its factorization.

85034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2698 counting only the distinct ones).

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

The square root of 85034640 is about 9221.4228836986. The cubic root of 85034640 is about 439.7426870177.

Adding to 85034640 its reverse (4643058), we get a palindrome (89677698).

The spelling of 85034640 in words is "eighty-five million, thirty-four thousand, six hundred forty".