4748640 has 96 divisors (see below), whose sum is σ = 16130016. Its totient is φ = 1167360.

The previous prime is 4748633. The next prime is 4748647. The reversal of 4748640 is 468474.

It is an interprime number because it is at equal distance from previous prime (4748633) and next prime (4748647).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4748647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5860 + ... + 6620.

It is an arithmetic number, because the mean of its divisors is an integer number (168021).

Almost surely, 2^4748640 is an apocalyptic number.

4748640 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 4748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065008).

4748640 is an abundant number, since it is smaller than the sum of its proper divisors (11381376).

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

4748640 is a wasteful number, since it uses less digits than its factorization.

4748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4748640 is about 2179.1374440361. The cubic root of 4748640 is about 168.0827256979.

The spelling of 4748640 in words is "four million, seven hundred forty-eight thousand, six hundred forty".