896313600 has 1080 divisors, whose sum is σ = 4293544640. Its totient is φ = 179159040.

The previous prime is 896313589. The next prime is 896313601. The reversal of 896313600 is 6313698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (896313601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47174391 + ... + 47174409.

Almost surely, 2^896313600 is an apocalyptic number.

896313600 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 896313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146772320).

896313600 is an abundant number, since it is smaller than the sum of its proper divisors (3397231040).

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

896313600 is a wasteful number, since it uses less digits than its factorization.

896313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 896313600 is about 29938.4969562602. The cubic root of 896313600 is about 964.1693658564.

The spelling of 896313600 in words is "eight hundred ninety-six million, three hundred thirteen thousand, six hundred".