83169840 has 320 divisors, whose sum is σ = 309980160. Its totient is φ = 18247680.

The previous prime is 83169839. The next prime is 83169851. The reversal of 83169840 is 4896138.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363410 + ... + 1363470.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^83169840 is an apocalyptic number.

83169840 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 83169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

83169840 is an abundant number, since it is smaller than the sum of its proper divisors (226810320).

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

83169840 is a wasteful number, since it uses less digits than its factorization.

83169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 83169840 is about 9119.7499965734. The cubic root of 83169840 is about 436.5043961931.

The spelling of 83169840 in words is "eighty-three million, one hundred sixty-nine thousand, eight hundred forty".