4956640 has 48 divisors (see below), whose sum is σ = 12616128. Its totient is φ = 1829376.

The previous prime is 4956629. The next prime is 4956643. The reversal of 4956640 is 466594.

It is a junction number, because it is equal to n+sod(n) for n = 4956596 and 4956605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889 + ... + 3271.

It is an arithmetic number, because the mean of its divisors is an integer number (262836).

Almost surely, 2^4956640 is an apocalyptic number.

4956640 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 4956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308064).

4956640 is an abundant number, since it is smaller than the sum of its proper divisors (7659488).

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

4956640 is a wasteful number, since it uses less digits than its factorization.

4956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 4956640 is about 2226.3512750687. The cubic root of 4956640 is about 170.5018618488.

The spelling of 4956640 in words is "four million, nine hundred fifty-six thousand, six hundred forty".