8142640 has 80 divisors (see below), whose sum is σ = 21784320. Its totient is φ = 2799360.

The previous prime is 8142637. The next prime is 8142653. The reversal of 8142640 is 462418.

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

It is a zygodrome in base 2.

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, 16477 + ... + 16963.

It is an arithmetic number, because the mean of its divisors is an integer number (272304).

Almost surely, 2^8142640 is an apocalyptic number.

8142640 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 8142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892160).

8142640 is an abundant number, since it is smaller than the sum of its proper divisors (13641680).

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

8142640 is a wasteful number, since it uses less digits than its factorization.

8142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8142640 is about 2853.5311457911. The cubic root of 8142640 is about 201.1816711826.

The spelling of 8142640 in words is "eight million, one hundred forty-two thousand, six hundred forty".