1114972560 has 320 divisors, whose sum is σ = 4212230400. Its totient is φ = 269402112.

The previous prime is 1114972553. The next prime is 1114972597. The reversal of 1114972560 is 652794111.

1114972560 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 97 + 2 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1656384 + ... + 1657056.

It is an arithmetic number, because the mean of its divisors is an integer number (13163220).

Almost surely, 2^1114972560 is an apocalyptic number.

1114972560 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 1114972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106115200).

1114972560 is an abundant number, since it is smaller than the sum of its proper divisors (3097257840).

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

1114972560 is a wasteful number, since it uses less digits than its factorization.

1114972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1114972560 is about 33391.2048300147. The cubic root of 1114972560 is about 1036.9426233409.

The spelling of 1114972560 in words is "one billion, one hundred fourteen million, nine hundred seventy-two thousand, five hundred sixty".