1205535520 has 96 divisors (see below), whose sum is σ = 3266355456. Its totient is φ = 411878400.

The previous prime is 1205535493. The next prime is 1205535557. The reversal of 1205535520 is 255355021.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 346590 + ... + 350050.

It is an arithmetic number, because the mean of its divisors is an integer number (34024536).

Almost surely, 2^1205535520 is an apocalyptic number.

1205535520 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 1205535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633177728).

1205535520 is an abundant number, since it is smaller than the sum of its proper divisors (2060819936).

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

1205535520 is a wasteful number, since it uses less digits than its factorization.

1205535520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 1205535520 is about 34720.8225709012. The cubic root of 1205535520 is about 1064.2900541497.

The spelling of 1205535520 in words is "one billion, two hundred five million, five hundred thirty-five thousand, five hundred twenty".