1214084960 has 96 divisors (see below), whose sum is σ = 3155441184. Its totient is φ = 441408000.

The previous prime is 1214084953. The next prime is 1214085011. The reversal of 1214084960 is 694804121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1214084960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210110 + ... + 215810.

It is an arithmetic number, because the mean of its divisors is an integer number (32869179).

Almost surely, 2^1214084960 is an apocalyptic number.

1214084960 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 1214084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577720592).

1214084960 is an abundant number, since it is smaller than the sum of its proper divisors (1941356224).

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

1214084960 is an equidigital number, since it uses as much as digits as its factorization.

1214084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1214084960 is about 34843.7219596300. The cubic root of 1214084960 is about 1066.8000475569.

The spelling of 1214084960 in words is "one billion, two hundred fourteen million, eighty-four thousand, nine hundred sixty".