83049000 has 256 divisors, whose sum is σ = 287539200. Its totient is φ = 19872000.

The previous prime is 83048993. The next prime is 83049023. The reversal of 83049000 is 94038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766977 + ... + 1767023.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^83049000 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 83049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

83049000 is an abundant number, since it is smaller than the sum of its proper divisors (204490200).

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

83049000 is a wasteful number, since it uses less digits than its factorization.

83049000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83049000 is about 9113.1224067276. The cubic root of 83049000 is about 436.2928902038.

The spelling of 83049000 in words is "eighty-three million, forty-nine thousand".