838146240 has 504 divisors, whose sum is σ = 3284433360. Its totient is φ = 195526656.

The previous prime is 838146233. The next prime is 838146241. The reversal of 838146240 is 42641838.

838146240 is a `hidden beast` number, since 83 + 81 + 462 + 40 = 666.

It is a super-2 number, since 2×838146240² = 1404978239252275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 838146195 and 838146204.

It is not an unprimeable number, because it can be changed into a prime (838146241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15814054 + ... + 15814106.

Almost surely, 2^838146240 is an apocalyptic number.

838146240 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 838146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642216680).

838146240 is an abundant number, since it is smaller than the sum of its proper divisors (2446287120).

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

838146240 is a wasteful number, since it uses less digits than its factorization.

838146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 838146240 is about 28950.7554305583. The cubic root of 838146240 is about 942.8441997436.

The spelling of 838146240 in words is "eight hundred thirty-eight million, one hundred forty-six thousand, two hundred forty".