1154122560 has 336 divisors, whose sum is σ = 4237329600. Its totient is φ = 295695360.

The previous prime is 1154122549. The next prime is 1154122573. The reversal of 1154122560 is 652214511.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8302971 + ... + 8303109.

It is an arithmetic number, because the mean of its divisors is an integer number (12611100).

Almost surely, 2^1154122560 is an apocalyptic number.

1154122560 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 1154122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118664800).

1154122560 is an abundant number, since it is smaller than the sum of its proper divisors (3083207040).

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

1154122560 is a wasteful number, since it uses less digits than its factorization.

1154122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1154122560 is about 33972.3793691287. The cubic root of 1154122560 is about 1048.9399914721.

The spelling of 1154122560 in words is "one billion, one hundred fifty-four million, one hundred twenty-two thousand, five hundred sixty".