814062240 has 144 divisors (see below), whose sum is σ = 2842807968. Its totient is φ = 212018688.

The previous prime is 814062233. The next prime is 814062259. The reversal of 814062240 is 42260418.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 55347 + ... + 68493.

It is an arithmetic number, because the mean of its divisors is an integer number (19741722).

Almost surely, 2^814062240 is an apocalyptic number.

814062240 is a gapful number since it is divisible by the number (80) 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 814062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421403984).

814062240 is an abundant number, since it is smaller than the sum of its proper divisors (2028745728).

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

814062240 is a wasteful number, since it uses less digits than its factorization.

814062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 814062240 is about 28531.7759699602. The cubic root of 814062240 is about 933.7254656113.

The spelling of 814062240 in words is "eight hundred fourteen million, sixty-two thousand, two hundred forty".