834130560 has 128 divisors (see below), whose sum is σ = 2673754560. Its totient is φ = 221184000.

The previous prime is 834130559. The next prime is 834130621. The reversal of 834130560 is 65031438.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×834130560² = 1391547582251827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369435 + ... + 371685.

Almost surely, 2^834130560 is an apocalyptic number.

834130560 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 834130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336877280).

834130560 is an abundant number, since it is smaller than the sum of its proper divisors (1839624000).

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

834130560 is a wasteful number, since it uses less digits than its factorization.

834130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 834130560 is about 28881.3185294578. The cubic root of 834130560 is about 941.3360208433.

Adding to 834130560 its reverse (65031438), we get a palindrome (899161998).

The spelling of 834130560 in words is "eight hundred thirty-four million, one hundred thirty thousand, five hundred sixty".