814544640 has 864 divisors, whose sum is σ = 3718935360. Its totient is φ = 167215104.

The previous prime is 814544629. The next prime is 814544693. The reversal of 814544640 is 46445418.

It is a happy number.

814544640 is a `hidden beast` number, since 8 + 1 + 4 + 5 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 814544595 and 814544604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014702 + ... + 22014738.

Almost surely, 2^814544640 is an apocalyptic number.

814544640 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 814544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859467680).

814544640 is an abundant number, since it is smaller than the sum of its proper divisors (2904390720).

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

814544640 is a wasteful number, since it uses less digits than its factorization.

814544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 814544640 is about 28540.2284503821. The cubic root of 814544640 is about 933.9098660168.

The spelling of 814544640 in words is "eight hundred fourteen million, five hundred forty-four thousand, six hundred forty".