896616000 has 448 divisors, whose sum is σ = 3765864960. Its totient is φ = 204595200.

The previous prime is 896615987. The next prime is 896616031. The reversal of 896616000 is 616698.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511704 + ... + 1512296.

Almost surely, 2^896616000 is an apocalyptic number.

896616000 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 896616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882932480).

896616000 is an abundant number, since it is smaller than the sum of its proper divisors (2869248960).

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

896616000 is a wasteful number, since it uses less digits than its factorization.

896616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 896616000 is about 29943.5468840951. The cubic root of 896616000 is about 964.2777847672.

The spelling of 896616000 in words is "eight hundred ninety-six million, six hundred sixteen thousand".