1355019820 has 96 divisors (see below), whose sum is σ = 3590770176. Its totient is φ = 417216000.

The previous prime is 1355019817. The next prime is 1355019839. The reversal of 1355019820 is 289105531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122520 + ... + 133120.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 2^1355019820 is an apocalyptic number.

1355019820 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 1355019820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

1355019820 is an abundant number, since it is smaller than the sum of its proper divisors (2235750356).

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

1355019820 is a wasteful number, since it uses less digits than its factorization.

1355019820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 1355019820 is about 36810.5938555737. The cubic root of 1355019820 is about 1106.5776200105.

The spelling of 1355019820 in words is "one billion, three hundred fifty-five million, nineteen thousand, eight hundred twenty".