834185040 has 160 divisors (see below), whose sum is σ = 2803320576. Its totient is φ = 203980800.

The previous prime is 834185021. The next prime is 834185059. The reversal of 834185040 is 40581438.

It is an interprime number because it is at equal distance from previous prime (834185021) and next prime (834185059).

It is a junction number, because it is equal to n+sod(n) for n = 834184992 and 834185010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520240 + ... + 521840.

Almost surely, 2^834185040 is an apocalyptic number.

834185040 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 834185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401660288).

834185040 is an abundant number, since it is smaller than the sum of its proper divisors (1969135536).

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

834185040 is a wasteful number, since it uses less digits than its factorization.

834185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 834185040 is about 28882.2616842934. The cubic root of 834185040 is about 941.3565143857.

The spelling of 834185040 in words is "eight hundred thirty-four million, one hundred eighty-five thousand, forty".