834521616 has 100 divisors (see below), whose sum is σ = 2423146000. Its totient is φ = 277276608.

The previous prime is 834521587. The next prime is 834521617. The reversal of 834521616 is 616125438.

It is a happy number.

834521616 is a `hidden beast` number, since 8 + 34 + 5 + 2 + 1 + 616 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (834521617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 490335 + ... + 492033.

It is an arithmetic number, because the mean of its divisors is an integer number (24231460).

Almost surely, 2^834521616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834521616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211573000).

834521616 is an abundant number, since it is smaller than the sum of its proper divisors (1588624384).

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

834521616 is a wasteful number, since it uses less digits than its factorization.

834521616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2083 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 834521616 is about 28888.0877871831. The cubic root of 834521616 is about 941.4831031688.

The spelling of 834521616 in words is "eight hundred thirty-four million, five hundred twenty-one thousand, six hundred sixteen".