8985362400 has 1008 divisors, whose sum is σ = 39345481728. Its totient is φ = 1959552000.

The previous prime is 8985362389. The next prime is 8985362411. The reversal of 8985362400 is 42635898.

8985362400 is a `hidden beast` number, since 8 + 98 + 536 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8985362389) and next prime (8985362411).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 126554365 + ... + 126554435.

It is an arithmetic number, because the mean of its divisors is an integer number (39033216).

Almost surely, 2^8985362400 is an apocalyptic number.

8985362400 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 8985362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672740864).

8985362400 is an abundant number, since it is smaller than the sum of its proper divisors (30360119328).

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

8985362400 is a wasteful number, since it uses less digits than its factorization.

8985362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8985362400 is about 94791.1514857795. The cubic root of 8985362400 is about 2078.9555283679.

The spelling of 8985362400 in words is "eight billion, nine hundred eighty-five million, three hundred sixty-two thousand, four hundred".