834563520 has 224 divisors, whose sum is σ = 3364992000. Its totient is φ = 190743552.

The previous prime is 834563501. The next prime is 834563549. The reversal of 834563520 is 25365438.

It is a happy number.

834563520 is a `hidden beast` number, since 83 + 4 + 56 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53581 + ... + 67379.

Almost surely, 2^834563520 is an apocalyptic number.

834563520 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 834563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682496000).

834563520 is an abundant number, since it is smaller than the sum of its proper divisors (2530428480).

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

834563520 is a wasteful number, since it uses less digits than its factorization.

834563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13832 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 834563520 is about 28888.8130597295. The cubic root of 834563520 is about 941.4988611979.

It can be divided in two parts, 8345635 and 20, that added together give a triangular number (8345655 = T₄₀₈₅).

The spelling of 834563520 in words is "eight hundred thirty-four million, five hundred sixty-three thousand, five hundred twenty".