4711680 has 108 divisors (see below), whose sum is σ = 16341780. Its totient is φ = 1253376.

The previous prime is 4711657. The next prime is 4711699. The reversal of 4711680 is 861174.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 1557504 = 1776^2 + 1248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11316 + ... + 11724.

Almost surely, 2^4711680 is an apocalyptic number.

4711680 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 4711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170890).

4711680 is an abundant number, since it is smaller than the sum of its proper divisors (11630100).

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

4711680 is a wasteful number, since it uses less digits than its factorization.

4711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4711680 is about 2170.6404584822. The cubic root of 4711680 is about 167.6455110389.

The spelling of 4711680 in words is "four million, seven hundred eleven thousand, six hundred eighty".