1078020 has 72 divisors (see below), whose sum is σ = 3361176. Its totient is φ = 279552.

The previous prime is 1078019. The next prime is 1078027. The reversal of 1078020 is 208701.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 1065024 = 114^2 + 1032^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1077984 and 1078002.

It is not an unprimeable number, because it can be changed into a prime (1078027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9484 + ... + 9596.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

2^1078020 is an apocalyptic number.

1078020 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 1078020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588).

1078020 is an abundant number, since it is smaller than the sum of its proper divisors (2283156).

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

1078020 is a wasteful number, since it uses less digits than its factorization.

1078020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1078020 is about 1038.2774195753. The cubic root of 1078020 is about 102.5358193274.

The spelling of 1078020 in words is "one million, seventy-eight thousand, twenty".