83834520 has 256 divisors, whose sum is σ = 322375680. Its totient is φ = 16934400.

The previous prime is 83834519. The next prime is 83834533. The reversal of 83834520 is 2543838.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397215 + ... + 397425.

It is an arithmetic number, because the mean of its divisors is an integer number (1259280).

Almost surely, 2^83834520 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 83834520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161187840).

83834520 is an abundant number, since it is smaller than the sum of its proper divisors (238541160).

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

83834520 is a wasteful number, since it uses less digits than its factorization.

83834520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 83834520 is about 9156.1192652783. The cubic root of 83834520 is about 437.6641365086.

The spelling of 83834520 in words is "eighty-three million, eight hundred thirty-four thousand, five hundred twenty".