1072820 has 48 divisors (see below), whose sum is σ = 2634240. Its totient is φ = 359424.

The previous prime is 1072811. The next prime is 1072823. The reversal of 1072820 is 282701.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1072792 and 1072801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11012 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (54880).

2^1072820 is an apocalyptic number.

1072820 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 1072820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317120).

1072820 is an abundant number, since it is smaller than the sum of its proper divisors (1561420).

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

1072820 is a wasteful number, since it uses less digits than its factorization.

1072820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1072820 is about 1035.7702447937. The cubic root of 1072820 is about 102.3706876143.

The spelling of 1072820 in words is "one million, seventy-two thousand, eight hundred twenty".