1820772 has 48 divisors (see below), whose sum is σ = 4932480. Its totient is φ = 579744.

The previous prime is 1820759. The next prime is 1820773. The reversal of 1820772 is 2770281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1820773) 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, 2118 + ... + 2850.

It is an arithmetic number, because the mean of its divisors is an integer number (102760).

2^1820772 is an apocalyptic number.

1820772 is a gapful number since it is divisible by the number (12) 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 1820772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466240).

1820772 is an abundant number, since it is smaller than the sum of its proper divisors (3111708).

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

1820772 is a wasteful number, since it uses less digits than its factorization.

1820772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1820772 is about 1349.3598482243. The cubic root of 1820772 is about 122.1101754887.

The spelling of 1820772 in words is "one million, eight hundred twenty thousand, seven hundred seventy-two".