896971680 has 288 divisors, whose sum is σ = 3536664768. Its totient is φ = 204595200.

The previous prime is 896971667. The next prime is 896971681. The reversal of 896971680 is 86179698.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896971681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267615 + ... + 270945.

It is an arithmetic number, because the mean of its divisors is an integer number (12280086).

Almost surely, 2^896971680 is an apocalyptic number.

896971680 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 896971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768332384).

896971680 is an abundant number, since it is smaller than the sum of its proper divisors (2639693088).

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

896971680 is a wasteful number, since it uses less digits than its factorization.

896971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 896971680 is about 29949.4854713733. The cubic root of 896971680 is about 964.4052748636.

The spelling of 896971680 in words is "eight hundred ninety-six million, nine hundred seventy-one thousand, six hundred eighty".