4012680 has 128 divisors (see below), whose sum is σ = 14618880. Its totient is φ = 860160.

The previous prime is 4012669. The next prime is 4012681. The reversal of 4012680 is 862104.

4012680 = 131² + 132² + ... + 242².

4012680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4012680² = 32203201564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4012681) 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 31 ways as a sum of consecutive naturals, for example, 14140 + ... + 14420.

It is an arithmetic number, because the mean of its divisors is an integer number (114210).

Almost surely, 2^4012680 is an apocalyptic number.

4012680 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 4012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309440).

4012680 is an abundant number, since it is smaller than the sum of its proper divisors (10606200).

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

4012680 is a wasteful number, since it uses less digits than its factorization.

4012680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4012680 is about 2003.1674917490. The cubic root of 4012680 is about 158.9076636457.

Adding to 4012680 its reverse (862104), we get a palindrome (4874784).

It can be divided in two parts, 401 and 2680, that added together give a triangular number (3081 = T₇₈).

The spelling of 4012680 in words is "four million, twelve thousand, six hundred eighty".