896700672 has 288 divisors, whose sum is σ = 3108188160. Its totient is φ = 249661440.

The previous prime is 896700667. The next prime is 896700697. The reversal of 896700672 is 276007698.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080297 + ... + 2080727.

It is an arithmetic number, because the mean of its divisors is an integer number (10792320).

Almost surely, 2^896700672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554094080).

896700672 is an abundant number, since it is smaller than the sum of its proper divisors (2211487488).

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

896700672 is a wasteful number, since it uses less digits than its factorization.

896700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 896700672 is about 29944.9607112783. The cubic root of 896700672 is about 964.3081376937.

The spelling of 896700672 in words is "eight hundred ninety-six million, seven hundred thousand, six hundred seventy-two".