4648140 has 216 divisors, whose sum is σ = 17926272. Its totient is φ = 967680.

The previous prime is 4648099. The next prime is 4648151. The reversal of 4648140 is 418464.

4648140 = T₅₉ + T₆₀ + ... + T₃₀₃.

4648140 is a `hidden beast` number, since 4 + 648 + 14 + 0 = 666.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149925 + ... + 149955.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

Almost surely, 2^4648140 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 4648140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

4648140 is an abundant number, since it is smaller than the sum of its proper divisors (13278132).

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

4648140 is a wasteful number, since it uses less digits than its factorization.

4648140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4648140 is about 2155.9545449754. The cubic root of 4648140 is about 166.8884957313. Note that the first 3 decimals are identical.

The spelling of 4648140 in words is "four million, six hundred forty-eight thousand, one hundred forty".