8402976 has 72 divisors (see below), whose sum is σ = 24176880. Its totient is φ = 2768256.

The previous prime is 8402971. The next prime is 8403029. The reversal of 8402976 is 6792048.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8402976² = 141220011313152, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 8 + 4² + 0 + 2²³ + 9⁴ + 7 + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 8402976.

It is not an unprimeable number, because it can be changed into a prime (8402971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46855 + ... + 47033.

It is an arithmetic number, because the mean of its divisors is an integer number (335790).

Almost surely, 2^8402976 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 8402976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088440).

8402976 is an abundant number, since it is smaller than the sum of its proper divisors (15773904).

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

8402976 is a wasteful number, since it uses less digits than its factorization.

8402976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8402976 is about 2898.7887125487. The cubic root of 8402976 is about 203.3032748424.

The spelling of 8402976 in words is "eight million, four hundred two thousand, nine hundred seventy-six".