4815648 has 72 divisors (see below), whose sum is σ = 14309568. Its totient is φ = 1533312.

The previous prime is 4815647. The next prime is 4815673. The reversal of 4815648 is 8465184.

4815648 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×4815648³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4815647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6261 + ... + 6987.

It is an arithmetic number, because the mean of its divisors is an integer number (198744).

Almost surely, 2^4815648 is an apocalyptic number.

4815648 is a gapful number since it is divisible by the number (48) 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 4815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784).

4815648 is an abundant number, since it is smaller than the sum of its proper divisors (9493920).

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

4815648 is a wasteful number, since it uses less digits than its factorization.

4815648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4815648 is about 2194.4584753419. The cubic root of 4815648 is about 168.8696402604.

The spelling of 4815648 in words is "four million, eight hundred fifteen thousand, six hundred forty-eight".