1114072960 has 512 divisors, whose sum is σ = 3750727680. Its totient is φ = 305233920.

The previous prime is 1114072937. The next prime is 1114072963. The reversal of 1114072960 is 692704111.

It is a super-3 number, since 3×1114072960³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114072963) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23703657 + ... + 23703703.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^1114072960 is an apocalyptic number.

1114072960 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 1114072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875363840).

1114072960 is an abundant number, since it is smaller than the sum of its proper divisors (2636654720).

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

1114072960 is a wasteful number, since it uses less digits than its factorization.

1114072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1114072960 is about 33377.7314987103. The cubic root of 1114072960 is about 1036.6636674242.

It can be divided in two parts, 11140 and 72960, that added together give a square (84100 = 290²).

The spelling of 1114072960 in words is "one billion, one hundred fourteen million, seventy-two thousand, nine hundred sixty".