1070820 has 60 divisors (see below), whose sum is σ = 3364284. Its totient is φ = 285120.

The previous prime is 1070803. The next prime is 1070827. The reversal of 1070820 is 280701.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 443556 = 792^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1070820² = 2293310944800, which contains 22 as substring.

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 = 1070793 and 1070802.

It is not an unprimeable number, because it can be changed into a prime (1070827) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1290 + ... + 1950.

2^1070820 is an apocalyptic number.

1070820 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 1070820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682142).

1070820 is an abundant number, since it is smaller than the sum of its proper divisors (2293464).

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

1070820 is a wasteful number, since it uses less digits than its factorization.

1070820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

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

The square root of 1070820 is about 1034.8043293299. The cubic root of 1070820 is about 102.3070333397.

The spelling of 1070820 in words is "one million, seventy thousand, eight hundred twenty".