896687064 has 384 divisors, whose sum is σ = 3294144000. Its totient is φ = 224042112.

The previous prime is 896687053. The next prime is 896687069. The reversal of 896687064 is 460786698.

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

It is a self number, because there is not a number n which added to its sum of digits gives 896687064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896687069) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 47194047 + ... + 47194065.

It is an arithmetic number, because the mean of its divisors is an integer number (8578500).

Almost surely, 2^896687064 is an apocalyptic number.

896687064 is a gapful number since it is divisible by the number (84) 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 896687064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647072000).

896687064 is an abundant number, since it is smaller than the sum of its proper divisors (2397456936).

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

896687064 is a wasteful number, since it uses less digits than its factorization.

896687064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 44 counting only the distinct ones).

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

The square root of 896687064 is about 29944.7334935544. The cubic root of 896687064 is about 964.3032596737.

The spelling of 896687064 in words is "eight hundred ninety-six million, six hundred eighty-seven thousand, sixty-four".