1073664000 has 312 divisors, whose sum is σ = 3887055432. Its totient is φ = 285081600.

The previous prime is 1073663959. The next prime is 1073664041. The reversal of 1073664000 is 4663701.

1073664000 is a `hidden beast` number, since 10 + 7 + 3 + 6 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1073663959) and next prime (1073664041).

It can be written as a sum of positive squares in 4 ways, for example, as 141705216 + 931958784 = 11904^2 + 30528^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607884 + ... + 4608116.

It is an arithmetic number, because the mean of its divisors is an integer number (12458511).

Almost surely, 2^1073664000 is an apocalyptic number.

1073664000 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 1073664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943527716).

1073664000 is an abundant number, since it is smaller than the sum of its proper divisors (2813391432).

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

1073664000 is an equidigital number, since it uses as much as digits as its factorization.

1073664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1073664000 is about 32766.8124784819. The cubic root of 1073664000 is about 1023.9752598189.

The spelling of 1073664000 in words is "one billion, seventy-three million, six hundred sixty-four thousand".