896676480 has 480 divisors, whose sum is σ = 3735553140. Its totient is φ = 204374016.

The previous prime is 896676461. The next prime is 896676493. The reversal of 896676480 is 84676698.

896676480 is a `hidden beast` number, since 8 + 96 + 6 + 76 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 884229696 + 12446784 = 29736^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2539984 + ... + 2540336.

Almost surely, 2^896676480 is an apocalyptic number.

896676480 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 896676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867776570).

896676480 is an abundant number, since it is smaller than the sum of its proper divisors (2838876660).

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

896676480 is a wasteful number, since it uses less digits than its factorization.

896676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 896676480 is about 29944.5567674661. The cubic root of 896676480 is about 964.2994656240.

The spelling of 896676480 in words is "eight hundred ninety-six million, six hundred seventy-six thousand, four hundred eighty".