1071681600 has 168 divisors, whose sum is σ = 3835834848. Its totient is φ = 259788800.

The previous prime is 1071681599. The next prime is 1071681613. The reversal of 1071681600 is 61861701.

It is a happy number.

It is a super-3 number, since 3×1071681600³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 42652 + ... + 62948.

Almost surely, 2^1071681600 is an apocalyptic number.

1071681600 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 1071681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917917424).

1071681600 is an abundant number, since it is smaller than the sum of its proper divisors (2764153248).

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

1071681600 is a wasteful number, since it uses less digits than its factorization.

1071681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20333 (or 20318 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1071681600 is about 32736.5483825036. The cubic root of 1071681600 is about 1023.3446531042.

The spelling of 1071681600 in words is "one billion, seventy-one million, six hundred eighty-one thousand, six hundred".