838610820 has 240 divisors, whose sum is σ = 2792579328. Its totient is φ = 210228480.

The previous prime is 838610819. The next prime is 838610873. The reversal of 838610820 is 28016838.

838610820 is a `hidden beast` number, since 8 + 38 + 610 + 8 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2645302 + ... + 2645618.

Almost surely, 2^838610820 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 838610820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396289664).

838610820 is an abundant number, since it is smaller than the sum of its proper divisors (1953968508).

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

838610820 is a wasteful number, since it uses less digits than its factorization.

838610820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 838610820 is about 28958.7779438291. Note that the first 3 decimals coincide. The cubic root of 838610820 is about 943.0183720739.

The spelling of 838610820 in words is "eight hundred thirty-eight million, six hundred ten thousand, eight hundred twenty".