4642560 has 216 divisors, whose sum is σ = 17856384. Its totient is φ = 1105920.

The previous prime is 4642549. The next prime is 4642601. The reversal of 4642560 is 652464.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149745 + ... + 149775.

Almost surely, 2^4642560 is an apocalyptic number.

4642560 is a gapful number since it is divisible by the number (40) 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 4642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928192).

4642560 is an abundant number, since it is smaller than the sum of its proper divisors (13213824).

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

4642560 is a wasteful number, since it uses less digits than its factorization.

4642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4642560 is about 2154.6600659965. The cubic root of 4642560 is about 166.8216868788.

The spelling of 4642560 in words is "four million, six hundred forty-two thousand, five hundred sixty".