8438976 has 252 divisors, whose sum is σ = 31619952. Its totient is φ = 2128896.

The previous prime is 8438959. The next prime is 8438977. The reversal of 8438976 is 6798348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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

Its product of digits (290304) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8438977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366901 + ... + 366923.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 2^8438976 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 8438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809976).

8438976 is an abundant number, since it is smaller than the sum of its proper divisors (23180976).

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

8438976 is a wasteful number, since it uses less digits than its factorization.

8438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 8438976 is about 2904.9915662528. The cubic root of 8438976 is about 203.5931916055.

It can be divided in two parts, 84 and 38976, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 8438976 in words is "eight million, four hundred thirty-eight thousand, nine hundred seventy-six".