814742640 has 120 divisors (see below), whose sum is σ = 2746596528. Its totient is φ = 216437760.

The previous prime is 814742597. The next prime is 814742671. The reversal of 814742640 is 46247418.

814742640 is a `hidden beast` number, since 8 + 1 + 4 + 7 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 814742595 and 814742604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200307 + ... + 204333.

Almost surely, 2^814742640 is an apocalyptic number.

814742640 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 814742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373298264).

814742640 is an abundant number, since it is smaller than the sum of its proper divisors (1931853888).

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

814742640 is a wasteful number, since it uses less digits than its factorization.

814742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 814742640 is about 28543.6970275401. The cubic root of 814742640 is about 933.9855316765.

The spelling of 814742640 in words is "eight hundred fourteen million, seven hundred forty-two thousand, six hundred forty".