4896640 has 64 divisors (see below), whose sum is σ = 13390560. Its totient is φ = 1677312.

The previous prime is 4896637. The next prime is 4896643. The reversal of 4896640 is 466984.

It is an interprime number because it is at equal distance from previous prime (4896637) and next prime (4896643).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4896640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4896643) 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, 3934 + ... + 5026.

Almost surely, 2^4896640 is an apocalyptic number.

4896640 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 4896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695280).

4896640 is an abundant number, since it is smaller than the sum of its proper divisors (8493920).

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

4896640 is a wasteful number, since it uses less digits than its factorization.

4896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4896640 is about 2212.8352853297. The cubic root of 4896640 is about 169.8110935070.

The spelling of 4896640 in words is "four million, eight hundred ninety-six thousand, six hundred forty".