4715648 has 64 divisors (see below), whose sum is σ = 11342400. Its totient is φ = 1907712.

The previous prime is 4715611. The next prime is 4715653. The reversal of 4715648 is 8465174.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×4715648³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16886 + ... + 17162.

It is an arithmetic number, because the mean of its divisors is an integer number (177225).

Almost surely, 2^4715648 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 4715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671200).

4715648 is an abundant number, since it is smaller than the sum of its proper divisors (6626752).

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

4715648 is a wasteful number, since it uses less digits than its factorization.

4715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

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

The square root of 4715648 is about 2171.5542820754. The cubic root of 4715648 is about 167.6925594190.

The spelling of 4715648 in words is "four million, seven hundred fifteen thousand, six hundred forty-eight".