834821520 has 160 divisors (see below), whose sum is σ = 2846817792. Its totient is φ = 201086976.

The previous prime is 834821509. The next prime is 834821531. The reversal of 834821520 is 25128438.

It is an interprime number because it is at equal distance from previous prime (834821509) and next prime (834821531).

It is a super-2 number, since 2×834821520² = 1393853940510220800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 143794 + ... + 149486.

Almost surely, 2^834821520 is an apocalyptic number.

834821520 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 834821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423408896).

834821520 is an abundant number, since it is smaller than the sum of its proper divisors (2011996272).

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

834821520 is a wasteful number, since it uses less digits than its factorization.

834821520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5763 counting only the distinct ones).

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

The square root of 834821520 is about 28893.2781110071. The cubic root of 834821520 is about 941.5958706619.

Adding to 834821520 its reverse (25128438), we get a palindrome (859949958).

The spelling of 834821520 in words is "eight hundred thirty-four million, eight hundred twenty-one thousand, five hundred twenty".