8461296 has 60 divisors (see below), whose sum is σ = 24060712. Its totient is φ = 2775168.

The previous prime is 8461279. The next prime is 8461333. The reversal of 8461296 is 6921648.

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 self number, because there is not a number n which added to its sum of digits gives 8461296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9210 + ... + 10086.

Almost surely, 2^8461296 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 8461296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030356).

8461296 is an abundant number, since it is smaller than the sum of its proper divisors (15599416).

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

8461296 is a wasteful number, since it uses less digits than its factorization.

8461296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 949 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8461296 is about 2908.8306929074. The cubic root of 8461296 is about 203.7725261456.

The spelling of 8461296 in words is "eight million, four hundred sixty-one thousand, two hundred ninety-six".