1154119680 has 288 divisors, whose sum is σ = 4573951200. Its totient is φ = 263651328.

The previous prime is 1154119667. The next prime is 1154119711. The reversal of 1154119680 is 869114511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644226 + ... + 646014.

It is an arithmetic number, because the mean of its divisors is an integer number (15881775).

Almost surely, 2^1154119680 is an apocalyptic number.

1154119680 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 1154119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286975600).

1154119680 is an abundant number, since it is smaller than the sum of its proper divisors (3419831520).

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

1154119680 is a wasteful number, since it uses less digits than its factorization.

1154119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1154119680 is about 33972.3369817268. The cubic root of 1154119680 is about 1048.9391189624.

The spelling of 1154119680 in words is "one billion, one hundred fifty-four million, one hundred nineteen thousand, six hundred eighty".