1154880720 has 320 divisors, whose sum is σ = 4814691840. Its totient is φ = 248389632.

The previous prime is 1154880719. The next prime is 1154880721. The reversal of 1154880720 is 270884511.

1154880720 is a `hidden beast` number, since 11 + 548 + 80 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1154880719) and next prime (1154880721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154880721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254794 + ... + 259286.

It is an arithmetic number, because the mean of its divisors is an integer number (15045912).

Almost surely, 2^1154880720 is an apocalyptic number.

1154880720 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 1154880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407345920).

1154880720 is an abundant number, since it is smaller than the sum of its proper divisors (3659811120).

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

1154880720 is a wasteful number, since it uses less digits than its factorization.

1154880720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1154880720 is about 33983.5360137817. The cubic root of 1154880720 is about 1049.1696292058.

The spelling of 1154880720 in words is "one billion, one hundred fifty-four million, eight hundred eighty thousand, seven hundred twenty".