834849840 has 240 divisors, whose sum is σ = 2943525888. Its totient is φ = 193920000.

The previous prime is 834849811. The next prime is 834849853. The reversal of 834849840 is 48948438.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 834849840.

It is a congruent number.

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, 8265790 + ... + 8265890.

Almost surely, 2^834849840 is an apocalyptic number.

834849840 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 834849840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471762944).

834849840 is an abundant number, since it is smaller than the sum of its proper divisors (2108676048).

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

834849840 is a wasteful number, since it uses less digits than its factorization.

834849840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 834849840 is about 28893.7681862370. The cubic root of 834849840 is about 941.6065179252.

The spelling of 834849840 in words is "eight hundred thirty-four million, eight hundred forty-nine thousand, eight hundred forty".