1506820 has 48 divisors (see below), whose sum is σ = 3709440. Its totient is φ = 503424.

The previous prime is 1506809. The next prime is 1506823. The reversal of 1506820 is 286051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1506791 and 1506800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506823) 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 15 ways as a sum of consecutive naturals, for example, 6466 + ... + 6694.

It is an arithmetic number, because the mean of its divisors is an integer number (77280).

2^1506820 is an apocalyptic number.

1506820 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 1506820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854720).

1506820 is an abundant number, since it is smaller than the sum of its proper divisors (2202620).

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

1506820 is a wasteful number, since it uses less digits than its factorization.

1506820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1506820 is about 1227.5259671388. The cubic root of 1506820 is about 114.6446497900.

The spelling of 1506820 in words is "one million, five hundred six thousand, eight hundred twenty".