896126924160 has 1024 divisors, whose sum is σ = 3664917446400. Its totient is φ = 207537831936.

The previous prime is 896126924149. The next prime is 896126924179. The reversal of 896126924160 is 61429621698.

896126924160 is a `hidden beast` number, since 8 + 9 + 612 + 6 + 9 + 2 + 4 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 896126924097 and 896126924106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309327832 + ... + 309330728.

Almost surely, 2^896126924160 is an apocalyptic number.

896126924160 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 896126924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832458723200).

896126924160 is an abundant number, since it is smaller than the sum of its proper divisors (2768790522240).

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

896126924160 is a wasteful number, since it uses less digits than its factorization.

896126924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 896126924160 in words is "eight hundred ninety-six billion, one hundred twenty-six million, nine hundred twenty-four thousand, one hundred sixty".