8966400 has 108 divisors (see below), whose sum is σ = 29654352. Its totient is φ = 2385920.

The previous prime is 8966387. The next prime is 8966411. The reversal of 8966400 is 46698.

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, 18967 + ... + 19433.

Almost surely, 2^8966400 is an apocalyptic number.

8966400 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 8966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827176).

8966400 is an abundant number, since it is smaller than the sum of its proper divisors (20687952).

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

8966400 is a wasteful number, since it uses less digits than its factorization.

8966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 8966400 is about 2994.3947635541. The cubic root of 8966400 is about 207.7492046291.

The spelling of 8966400 in words is "eight million, nine hundred sixty-six thousand, four hundred".