814009056 has 96 divisors (see below), whose sum is σ = 2446956288. Its totient is φ = 232104960.

The previous prime is 814009051. The next prime is 814009081. The reversal of 814009056 is 650900418.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×814009056² = 1325221486500022272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814009051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 463476 + ... + 465228.

It is an arithmetic number, because the mean of its divisors is an integer number (25489128).

Almost surely, 2^814009056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814009056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223478144).

814009056 is an abundant number, since it is smaller than the sum of its proper divisors (1632947232).

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

814009056 is a wasteful number, since it uses less digits than its factorization.

814009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 814009056 is about 28530.8439412507. The cubic root of 814009056 is about 933.7051312379.

The spelling of 814009056 in words is "eight hundred fourteen million, nine thousand, fifty-six".