896639040 has 504 divisors, whose sum is σ = 3541434624. Its totient is φ = 207820800.

The previous prime is 896639033. The next prime is 896639047. The reversal of 896639040 is 40936698.

896639040 is a `hidden beast` number, since 8 + 9 + 6 + 639 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (896639033) and next prime (896639047).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (896639047) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10802839 + ... + 10802921.

It is an arithmetic number, because the mean of its divisors is an integer number (7026656).

Almost surely, 2^896639040 is an apocalyptic number.

896639040 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 896639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770717312).

896639040 is an abundant number, since it is smaller than the sum of its proper divisors (2644795584).

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

896639040 is a wasteful number, since it uses less digits than its factorization.

896639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 896639040 is about 29943.9316055858. The cubic root of 896639040 is about 964.2860442562.

It can be divided in two parts, 896 and 639040, that added together give a palindrome (639936).

The spelling of 896639040 in words is "eight hundred ninety-six million, six hundred thirty-nine thousand, forty".