4207680 has 112 divisors (see below), whose sum is σ = 14874240. Its totient is φ = 1119744.

The previous prime is 4207663. The next prime is 4207691. The reversal of 4207680 is 867024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397 + ... + 8883.

Almost surely, 2^4207680 is an apocalyptic number.

4207680 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 4207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437120).

4207680 is an abundant number, since it is smaller than the sum of its proper divisors (10666560).

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

4207680 is a wasteful number, since it uses less digits than its factorization.

4207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4207680 is about 2051.2630255528. The cubic root of 4207680 is about 161.4411470388.

It can be divided in two parts, 420 and 7680, that added together give a square (8100 = 90²).

The spelling of 4207680 in words is "four million, two hundred seven thousand, six hundred eighty".