8976000 has 256 divisors, whose sum is σ = 34369920. Its totient is φ = 2048000.

The previous prime is 8975987. The next prime is 8976001. The reversal of 8976000 is 6798.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8976001) 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, 527992 + ... + 528008.

Almost surely, 2^8976000 is an apocalyptic number.

8976000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

8976000 is an abundant number, since it is smaller than the sum of its proper divisors (25393920).

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

8976000 is a wasteful number, since it uses less digits than its factorization.

8976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 8976000 is about 2995.9973297718. The cubic root of 8976000 is about 207.8233213691.

The spelling of 8976000 in words is "eight million, nine hundred seventy-six thousand".