83509920 has 192 divisors, whose sum is σ = 314979840. Its totient is φ = 20542464.

The previous prime is 83509903. The next prime is 83509963. The reversal of 83509920 is 2990538.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55417 + ... + 56903.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^83509920 is an apocalyptic number.

83509920 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 83509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

83509920 is an abundant number, since it is smaller than the sum of its proper divisors (231469920).

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

83509920 is a wasteful number, since it uses less digits than its factorization.

83509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 83509920 is about 9138.3762233780. The cubic root of 83509920 is about 437.0985400232.

The spelling of 83509920 in words is "eighty-three million, five hundred nine thousand, nine hundred twenty".