4656096 has 96 divisors (see below), whose sum is σ = 14424480. Its totient is φ = 1456128.

The previous prime is 4656089. The next prime is 4656139. The reversal of 4656096 is 6906564.

It is a happy number.

4656096 is a `hidden beast` number, since 4 + 6 + 560 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4656096² = 43358459922432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4656096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14530 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (150255).

Almost surely, 2^4656096 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 4656096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212240).

4656096 is an abundant number, since it is smaller than the sum of its proper divisors (9768384).

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

4656096 is a wasteful number, since it uses less digits than its factorization.

4656096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4656096 is about 2157.7988784871. The cubic root of 4656096 is about 166.9836598209.

It can be divided in two parts, 46560 and 96, that added together give a 6-th power (46656 = 6⁶).

The spelling of 4656096 in words is "four million, six hundred fifty-six thousand, ninety-six".