4212768 has 48 divisors (see below), whose sum is σ = 12640320. Its totient is φ = 1203456.

The previous prime is 4212763. The next prime is 4212773. The reversal of 4212768 is 8672124.

It is an interprime number because it is at equal distance from previous prime (4212763) and next prime (4212773).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4212763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2463 + ... + 3806.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 2^4212768 is an apocalyptic number.

4212768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4212768 is an abundant number, since it is smaller than the sum of its proper divisors (8427552).

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

4212768 is a wasteful number, since it uses less digits than its factorization.

4212768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6281 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 4212768 is about 2052.5028623610. The cubic root of 4212768 is about 161.5061933105.

It can be divided in two parts, 42127 and 68, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 4212768 in words is "four million, two hundred twelve thousand, seven hundred sixty-eight".