8153640 has 192 divisors, whose sum is σ = 30326400. Its totient is φ = 1881600.

The previous prime is 8153609. The next prime is 8153681. The reversal of 8153640 is 463518.

8153640 is a `hidden beast` number, since 8 + 15 + 3 + 640 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114805 + ... + 114875.

It is an arithmetic number, because the mean of its divisors is an integer number (157950).

Almost surely, 2^8153640 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 8153640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

8153640 is an abundant number, since it is smaller than the sum of its proper divisors (22172760).

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

8153640 is a wasteful number, since it uses less digits than its factorization.

8153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8153640 is about 2855.4579317511. The cubic root of 8153640 is about 201.2722234116.

The spelling of 8153640 in words is "eight million, one hundred fifty-three thousand, six hundred forty".