838607040 has 336 divisors, whose sum is σ = 3087197280. Its totient is φ = 214272000.

The previous prime is 838607023. The next prime is 838607053. The reversal of 838607040 is 40706838.

838607040 is a `hidden beast` number, since 8 + 3 + 8 + 607 + 0 + 40 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 838606986 and 838607004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8302990 + ... + 8303090.

Almost surely, 2^838607040 is an apocalyptic number.

838607040 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 838607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543598640).

838607040 is an abundant number, since it is smaller than the sum of its proper divisors (2248590240).

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

838607040 is a wasteful number, since it uses less digits than its factorization.

838607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 838607040 is about 28958.7126785705. The cubic root of 838607040 is about 943.0169552010.

The spelling of 838607040 in words is "eight hundred thirty-eight million, six hundred seven thousand, forty".