4567680 has 192 divisors, whose sum is σ = 17264520. Its totient is φ = 1105920.

The previous prime is 4567669. The next prime is 4567681. The reversal of 4567680 is 867654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 3069504 = 1224^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4567681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74850 + ... + 74910.

Almost surely, 2^4567680 is an apocalyptic number.

4567680 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 4567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632260).

4567680 is an abundant number, since it is smaller than the sum of its proper divisors (12696840).

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

4567680 is a wasteful number, since it uses less digits than its factorization.

4567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4567680 is about 2137.2131386457. The cubic root of 4567680 is about 165.9199304177.

The spelling of 4567680 in words is "four million, five hundred sixty-seven thousand, six hundred eighty".