1071648000 has 324 divisors, whose sum is σ = 3920353164. Its totient is φ = 281088000.

The previous prime is 1071647977. The next prime is 1071648059. The reversal of 1071648000 is 8461701.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1071648000 is a `hidden beast` number, since 10 + 7 + 1 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 937829376 + 133818624 = 30624^2 + 11568^2 .

It is a super-2 number, since 2×1071648000² = 2296858871808000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17567970 + ... + 17568030.

Almost surely, 2^1071648000 is an apocalyptic number.

1071648000 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 1071648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960176582).

1071648000 is an abundant number, since it is smaller than the sum of its proper divisors (2848705164).

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

1071648000 is an frugal number, since it uses more digits than its factorization.

1071648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1071648000 is about 32736.0351905969. The cubic root of 1071648000 is about 1023.3339581554. Note that the first 3 decimals are identical.

The spelling of 1071648000 in words is "one billion, seventy-one million, six hundred forty-eight thousand".