8625120 has 192 divisors, whose sum is σ = 33094656. Its totient is φ = 1843200.

The previous prime is 8625119. The next prime is 8625121. The reversal of 8625120 is 215268.

It is an interprime number because it is at equal distance from previous prime (8625119) and next prime (8625121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8625121) by changing a digit.

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, 57045 + ... + 57195.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 2^8625120 is an apocalyptic number.

8625120 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 8625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

8625120 is an abundant number, since it is smaller than the sum of its proper divisors (24469536).

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

8625120 is a wasteful number, since it uses less digits than its factorization.

8625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8625120 is about 2936.8554612034. The cubic root of 8625120 is about 205.0792475685.

The spelling of 8625120 in words is "eight million, six hundred twenty-five thousand, one hundred twenty".