8946000 has 240 divisors, whose sum is σ = 36211968. Its totient is φ = 2016000.

The previous prime is 8945999. The next prime is 8946001. The reversal of 8946000 is 6498.

It is an interprime number because it is at equal distance from previous prime (8945999) and next prime (8946001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8946001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125965 + ... + 126035.

Almost surely, 2^8946000 is an apocalyptic number.

8946000 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 8946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

8946000 is an abundant number, since it is smaller than the sum of its proper divisors (27265968).

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

8946000 is a wasteful number, since it uses less digits than its factorization.

8946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8946000 is about 2990.9864593475. The cubic root of 8946000 is about 207.5915307225.

The spelling of 8946000 in words is "eight million, nine hundred forty-six thousand".