8412768 has 192 divisors, whose sum is σ = 30481920. Its totient is φ = 2198016.

The previous prime is 8412709. The next prime is 8412769. The reversal of 8412768 is 8672148.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8412769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78571 + ... + 78677.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^8412768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8412768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

8412768 is an abundant number, since it is smaller than the sum of its proper divisors (22069152).

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

8412768 is a wasteful number, since it uses less digits than its factorization.

8412768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8412768 is about 2900.4772021169. The cubic root of 8412768 is about 203.3822140538.

It can be divided in two parts, 8412 and 768, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8412768 in words is "eight million, four hundred twelve thousand, seven hundred sixty-eight".