8461368 has 64 divisors (see below), whose sum is σ = 24076800. Its totient is φ = 2751840.

The previous prime is 8461361. The next prime is 8461373. The reversal of 8461368 is 8631648.

It is a happy number.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8833 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (376200).

Almost surely, 2^8461368 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 8461368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038400).

8461368 is an abundant number, since it is smaller than the sum of its proper divisors (15615432).

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

8461368 is a wasteful number, since it uses less digits than its factorization.

8461368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8461368 is about 2908.8430689881. The cubic root of 8461368 is about 203.7731041335.

It can be divided in two parts, 84613 and 68, that added together give a square (84681 = 291²).

The spelling of 8461368 in words is "eight million, four hundred sixty-one thousand, three hundred sixty-eight".