1078846000 has 160 divisors (see below), whose sum is σ = 2734467840. Its totient is φ = 411264000.

The previous prime is 1078845991. The next prime is 1078846001. The reversal of 1078846000 is 6488701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1078846001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4513881 + ... + 4514119.

It is an arithmetic number, because the mean of its divisors is an integer number (17090424).

Almost surely, 2^1078846000 is an apocalyptic number.

1078846000 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 1078846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367233920).

1078846000 is an abundant number, since it is smaller than the sum of its proper divisors (1655621840).

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

1078846000 is a wasteful number, since it uses less digits than its factorization.

1078846000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 1078846000 is about 32845.7912067893. The cubic root of 1078846000 is about 1025.6200095801.

The spelling of 1078846000 in words is "one billion, seventy-eight million, eight hundred forty-six thousand".