8192415 has 64 divisors (see below), whose sum is σ = 16837632. Its totient is φ = 3302400.

The previous prime is 8192411. The next prime is 8192423. The reversal of 8192415 is 5142918.

It is a happy number.

It is not a de Polignac number, because 8192415 - 2² = 8192411 is a prime.

Its product of digits (2880) is a multiple of the sum of its prime divisors (240).

8192415 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8192411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47269 + ... + 47441.

It is an arithmetic number, because the mean of its divisors is an integer number (263088).

Almost surely, 2^8192415 is an apocalyptic number.

8192415 is an abundant number, since it is smaller than the sum of its proper divisors (8645217).

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

8192415 is a wasteful number, since it uses less digits than its factorization.

8192415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 2880, while the sum is 30.

The square root of 8192415 is about 2862.2395077980. The cubic root of 8192415 is about 201.5907720093.

The spelling of 8192415 in words is "eight million, one hundred ninety-two thousand, four hundred fifteen".