83049120 has 432 divisors, whose sum is σ = 363007008. Its totient is φ = 17095680.

The previous prime is 83049119. The next prime is 83049137. The reversal of 83049120 is 2194038.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 776107 + ... + 776213.

It is an arithmetic number, because the mean of its divisors is an integer number (840294).

Almost surely, 2^83049120 is an apocalyptic number.

83049120 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 83049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181503504).

83049120 is an abundant number, since it is smaller than the sum of its proper divisors (279957888).

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

83049120 is a wasteful number, since it uses less digits than its factorization.

83049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83049120 is about 9113.1289906376. The cubic root of 83049120 is about 436.2931003412.

It can be divided in two parts, 83049 and 120, that multiplied together give a triangular number (9965880 = T₄₄₆₄).

The spelling of 83049120 in words is "eighty-three million, forty-nine thousand, one hundred twenty".