8415148 has 48 divisors (see below), whose sum is σ = 17902080. Its totient is φ = 3383424.

The previous prime is 8415139. The next prime is 8415149.

8415148 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8415149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46923 + ... + 47101.

It is an arithmetic number, because the mean of its divisors is an integer number (372960).

Almost surely, 2^8415148 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 8415148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951040).

8415148 is an abundant number, since it is smaller than the sum of its proper divisors (9486932).

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

8415148 is a wasteful number, since it uses less digits than its factorization.

8415148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 8415148 is about 2900.8874504193. The cubic root of 8415148 is about 203.4013914133.

The spelling of 8415148 in words is "eight million, four hundred fifteen thousand, one hundred forty-eight".