8985600 has 264 divisors, whose sum is σ = 35535920. Its totient is φ = 2211840.

The previous prime is 8985593. The next prime is 8985607. The reversal of 8985600 is 65898.

8985600 is a `hidden beast` number, since 8 + 98 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8985593) and next prime (8985607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8985607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691194 + ... + 691206.

Almost surely, 2^8985600 is an apocalyptic number.

8985600 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 8985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767960).

8985600 is an abundant number, since it is smaller than the sum of its proper divisors (26550320).

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

8985600 is a wasteful number, since it uses less digits than its factorization.

8985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8985600 is about 2997.5990392312. The cubic root of 8985600 is about 207.8973852818.

The spelling of 8985600 in words is "eight million, nine hundred eighty-five thousand, six hundred".