1071950880 has 768 divisors, whose sum is σ = 4779565056. Its totient is φ = 194641920.

The previous prime is 1071950879. The next prime is 1071950927. The reversal of 1071950880 is 880591701.

1071950880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071950880² = 2298157378265548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11050992 + ... + 11051088.

It is an arithmetic number, because the mean of its divisors is an integer number (6223392).

Almost surely, 2^1071950880 is an apocalyptic number.

1071950880 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 1071950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389782528).

1071950880 is an abundant number, since it is smaller than the sum of its proper divisors (3707614176).

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

1071950880 is a wasteful number, since it uses less digits than its factorization.

1071950880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 1071950880 is about 32740.6609585085. The cubic root of 1071950880 is about 1023.4303574064.

The spelling of 1071950880 in words is "one billion, seventy-one million, nine hundred fifty thousand, eight hundred eighty".