1073856000 has 640 divisors, whose sum is σ = 4412289024. Its totient is φ = 226099200.

The previous prime is 1073855989. The next prime is 1073856011. The reversal of 1073856000 is 6583701.

It is an interprime number because it is at equal distance from previous prime (1073855989) and next prime (1073856011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 22847977 + ... + 22848023.

Almost surely, 2^1073856000 is an apocalyptic number.

1073856000 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 1073856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206144512).

1073856000 is an abundant number, since it is smaller than the sum of its proper divisors (3338433024).

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

1073856000 is an equidigital number, since it uses as much as digits as its factorization.

1073856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1073856000 is about 32769.7421411887. The cubic root of 1073856000 is about 1024.0362942865.

The spelling of 1073856000 in words is "one billion, seventy-three million, eight hundred fifty-six thousand".