1155225984 has 128 divisors (see below), whose sum is σ = 3368252160. Its totient is φ = 347904000.

The previous prime is 1155225971. The next prime is 1155225997. The reversal of 1155225984 is 4895225511.

It is an interprime number because it is at equal distance from previous prime (1155225971) and next prime (1155225997).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 763789 + ... + 765299.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^1155225984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

1155225984 is an abundant number, since it is smaller than the sum of its proper divisors (2213026176).

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

1155225984 is a wasteful number, since it uses less digits than its factorization.

1155225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1708 counting only the distinct ones).

The product of its digits is 144000, while the sum is 42.

The square root of 1155225984 is about 33988.6155057837. The cubic root of 1155225984 is about 1049.2741722996.

The spelling of 1155225984 in words is "one billion, one hundred fifty-five million, two hundred twenty-five thousand, nine hundred eighty-four".