1071840000 has 720 divisors, whose sum is σ = 4597528320. Its totient is φ = 215040000.

The previous prime is 1071839869. The next prime is 1071840019. The reversal of 1071840000 is 481701.

It is a super-2 number, since 2×1071840000² = 2297681971200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36959986 + ... + 36960014.

It is an arithmetic number, because the mean of its divisors is an integer number (6385456).

Almost surely, 2^1071840000 is an apocalyptic number.

1071840000 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 1071840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298764160).

1071840000 is an abundant number, since it is smaller than the sum of its proper divisors (3525688320).

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

1071840000 is an equidigital number, since it uses as much as digits as its factorization.

1071840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1071840000 is about 32738.9676074246. The cubic root of 1071840000 is about 1023.3950691381.

The spelling of 1071840000 in words is "one billion, seventy-one million, eight hundred forty thousand".