1008656064 has 196 divisors, whose sum is σ = 3233741056. Its totient is φ = 310169088.

The previous prime is 1008656063. The next prime is 1008656069. The reversal of 1008656064 is 4606568001.

1008656064 is a `hidden beast` number, since 10 + 0 + 86 + 560 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008656063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 605697 + ... + 607359.

Almost surely, 2^1008656064 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 1008656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616870528).

1008656064 is an abundant number, since it is smaller than the sum of its proper divisors (2225084992).

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

1008656064 is an equidigital number, since it uses as much as digits as its factorization.

1008656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1008656064 is about 31759.3460889862. The cubic root of 1008656064 is about 1002.8770692011.

It can be divided in two parts, 100865 and 6064, that added together give a square (106929 = 327²).

The spelling of 1008656064 in words is "one billion, eight million, six hundred fifty-six thousand, sixty-four".