8011640 has 128 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2419200.

The previous prime is 8011621. The next prime is 8011643. The reversal of 8011640 is 461108.

8011640 = T₂₂₁ + T₂₂₂ + ... + T₃₈₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112805 + ... + 112875.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^8011640 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 8011640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

8011640 is an abundant number, since it is smaller than the sum of its proper divisors (15212680).

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

8011640 is a wasteful number, since it uses less digits than its factorization.

8011640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8011640 is about 2830.4840575421. The cubic root of 8011640 is about 200.0969529930.

Adding to 8011640 its reverse (461108), we get a palindrome (8472748).

The spelling of 8011640 in words is "eight million, eleven thousand, six hundred forty".