8125920 has 288 divisors, whose sum is σ = 33022080. Its totient is φ = 1866240.

The previous prime is 8125883. The next prime is 8125921. The reversal of 8125920 is 295218.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427671 + ... + 427689.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^8125920 is an apocalyptic number.

8125920 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 8125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

8125920 is an abundant number, since it is smaller than the sum of its proper divisors (24896160).

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

8125920 is a wasteful number, since it uses less digits than its factorization.

8125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8125920 is about 2850.5999368554. The cubic root of 8125920 is about 201.0438754743.

It can be divided in two parts, 8125 and 920, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8125920 in words is "eight million, one hundred twenty-five thousand, nine hundred twenty".