1355209920 has 224 divisors, whose sum is σ = 4831323840. Its totient is φ = 357580800.

The previous prime is 1355209913. The next prime is 1355209939. The reversal of 1355209920 is 299025531.

It is a happy number.

1355209920 is a `hidden beast` number, since 13 + 552 + 0 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 871864 + ... + 873416.

It is an arithmetic number, because the mean of its divisors is an integer number (21568410).

Almost surely, 2^1355209920 is an apocalyptic number.

1355209920 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 1355209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415661920).

1355209920 is an abundant number, since it is smaller than the sum of its proper divisors (3476113920).

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

1355209920 is a wasteful number, since it uses less digits than its factorization.

1355209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1355209920 is about 36813.1759021142. The cubic root of 1355209920 is about 1106.6293660111.

The spelling of 1355209920 in words is "one billion, three hundred fifty-five million, two hundred nine thousand, nine hundred twenty".