814642920 has 448 divisors, whose sum is σ = 3393371520. Its totient is φ = 171320832.

The previous prime is 814642903. The next prime is 814642931. The reversal of 814642920 is 29246418.

814642920 is a `hidden beast` number, since 8 + 1 + 4 + 642 + 9 + 2 + 0 = 666.

814642920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×814642920² = 1327286174212252800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653407 + ... + 2653713.

It is an arithmetic number, because the mean of its divisors is an integer number (7574490).

Almost surely, 2^814642920 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 814642920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696685760).

814642920 is an abundant number, since it is smaller than the sum of its proper divisors (2578728600).

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

814642920 is a wasteful number, since it uses less digits than its factorization.

814642920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 814642920 is about 28541.9501786406. The cubic root of 814642920 is about 933.9474252313.

The spelling of 814642920 in words is "eight hundred fourteen million, six hundred forty-two thousand, nine hundred twenty".