83830572 has 192 divisors, whose sum is σ = 265216000. Its totient is φ = 22861440.

The previous prime is 83830559. The next prime is 83830583. The reversal of 83830572 is 27503838.

83830572 is a `hidden beast` number, since 8 + 3 + 83 + 0 + 572 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1148328 + ... + 1148400.

Almost surely, 2^83830572 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 83830572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132608000).

83830572 is an abundant number, since it is smaller than the sum of its proper divisors (181385428).

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

83830572 is a wasteful number, since it uses less digits than its factorization.

83830572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83830572 is about 9155.9036692180. The cubic root of 83830572 is about 437.6572661282.

The spelling of 83830572 in words is "eighty-three million, eight hundred thirty thousand, five hundred seventy-two".