83405070 has 96 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 18593280.

The previous prime is 83405051. The next prime is 83405099. The reversal of 83405070 is 7050438.

83405070 is a nontrivial binomial coefficient, being equal to C(12916, 2).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 24216 + ... + 27444.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^83405070 is an apocalyptic number.

83405070 is the 12915-th triangular number and also the 6458-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83405070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

83405070 is an abundant number, since it is smaller than the sum of its proper divisors (170550450).

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

83405070 is a wasteful number, since it uses less digits than its factorization.

83405070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 83405070 is about 9132.6376255713. The cubic root of 83405070 is about 436.9155319219.

The spelling of 83405070 in words is "eighty-three million, four hundred five thousand, seventy".