8133720 has 128 divisors (see below), whose sum is σ = 29168640. Its totient is φ = 1774080.

The previous prime is 8133707. The next prime is 8133731. The reversal of 8133720 is 273318.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19110 + ... + 19530.

It is an arithmetic number, because the mean of its divisors is an integer number (227880).

Almost surely, 2^8133720 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 8133720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584320).

8133720 is an abundant number, since it is smaller than the sum of its proper divisors (21034920).

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

8133720 is a wasteful number, since it uses less digits than its factorization.

8133720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 8133720 is about 2851.9677417531. The cubic root of 8133720 is about 201.1081816594.

The spelling of 8133720 in words is "eight million, one hundred thirty-three thousand, seven hundred twenty".