1149930880 has 128 divisors (see below), whose sum is σ = 3156353280. Its totient is φ = 392435712.

The previous prime is 1149930871. The next prime is 1149930907. The reversal of 1149930880 is 880399411.

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

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267387 + ... + 1268293.

It is an arithmetic number, because the mean of its divisors is an integer number (24659010).

Almost surely, 2^1149930880 is an apocalyptic number.

1149930880 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 1149930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578176640).

1149930880 is an abundant number, since it is smaller than the sum of its proper divisors (2006422400).

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

1149930880 is an equidigital number, since it uses as much as digits as its factorization.

1149930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 1149930880 is about 33910.6307815116. The cubic root of 1149930880 is about 1047.6685625187.

The spelling of 1149930880 in words is "one billion, one hundred forty-nine million, nine hundred thirty thousand, eight hundred eighty".