7415648 has 48 divisors (see below), whose sum is σ = 15467760. Its totient is φ = 3494400.

The previous prime is 7415647. The next prime is 7415659. The reversal of 7415648 is 8465147.

It is a super-3 number, since 3×7415648³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7415641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56543 + ... + 56673.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 2^7415648 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 7415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733880).

7415648 is an abundant number, since it is smaller than the sum of its proper divisors (8052112).

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

7415648 is a wasteful number, since it uses less digits than its factorization.

7415648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 7415648 is about 2723.1687424763. The cubic root of 7415648 is about 195.0067760082.

The spelling of 7415648 in words is "seven million, four hundred fifteen thousand, six hundred forty-eight".