8120475 has 72 divisors (see below), whose sum is σ = 16887312. Its totient is φ = 3686400.

The previous prime is 8120461. The next prime is 8120477. The reversal of 8120475 is 5740218.

8120475 = 10³ + 11³ + ... + 75³.

It is not a de Polignac number, because 8120475 - 2⁴ = 8120459 is a prime.

It is a super-2 number, since 2×8120475² = 131884228451250, which contains 22 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8120477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41979 + ... + 42171.

It is an arithmetic number, because the mean of its divisors is an integer number (234546).

Almost surely, 2^8120475 is an apocalyptic number.

8120475 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8120475 is an abundant number, since it is smaller than the sum of its proper divisors (8766837).

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

8120475 is a wasteful number, since it uses less digits than its factorization.

8120475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8120475 is about 2849.6447146969. The cubic root of 8120475 is about 200.9989604164.

The spelling of 8120475 in words is "eight million, one hundred twenty thousand, four hundred seventy-five".