1064448000 has 832 divisors, whose sum is σ = 4906736640. Its totient is φ = 221184000.

The previous prime is 1064447983. The next prime is 1064448017. The reversal of 1064448000 is 8444601.

1064448000 is a `hidden beast` number, since 10 + 644 + 4 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1064447983) and next prime (1064448017).

It is a super-2 number, since 2×1064448000² = 2266099089408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 96767995 + ... + 96768005.

It is an arithmetic number, because the mean of its divisors is an integer number (5897520).

Almost surely, 2^1064448000 is an apocalyptic number.

1064448000 is a gapful number since it is divisible by the number (10) 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 1064448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453368320).

1064448000 is an abundant number, since it is smaller than the sum of its proper divisors (3842288640).

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

1064448000 is an equidigital number, since it uses as much as digits as its factorization.

1064448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1064448000 is about 32625.8792984955. The cubic root of 1064448000 is about 1021.0370076276.

The spelling of 1064448000 in words is "one billion, sixty-four million, four hundred forty-eight thousand".