1535820 has 96 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 341760.

The previous prime is 1535813. The next prime is 1535837. The reversal of 1535820 is 285351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8491 + ... + 8669.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2^1535820 is an apocalyptic number.

1535820 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 1535820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1535820 is an abundant number, since it is smaller than the sum of its proper divisors (3544500).

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

1535820 is a wasteful number, since it uses less digits than its factorization.

1535820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1535820 is about 1239.2820502210. The cubic root of 1535820 is about 115.3754584186.

The spelling of 1535820 in words is "one million, five hundred thirty-five thousand, eight hundred twenty".