4705680 has 80 divisors (see below), whose sum is σ = 16677504. Its totient is φ = 1075200.

The previous prime is 4705669. The next prime is 4705681. The reversal of 4705680 is 865074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4705681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280 + ... + 3080.

Almost surely, 2^4705680 is an apocalyptic number.

4705680 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 4705680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8338752).

4705680 is an abundant number, since it is smaller than the sum of its proper divisors (11971824).

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

4705680 is a wasteful number, since it uses less digits than its factorization.

4705680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4705680 is about 2169.2579376367. The cubic root of 4705680 is about 167.5743191400.

Subtracting from 4705680 its reverse (865074), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4705680 in words is "four million, seven hundred five thousand, six hundred eighty".