83909520 has 200 divisors, whose sum is σ = 304641216. Its totient is φ = 21364992.

The previous prime is 83909513. The next prime is 83909533. The reversal of 83909520 is 2590938.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148759 + ... + 149321.

Almost surely, 2^83909520 is an apocalyptic number.

83909520 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 83909520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152320608).

83909520 is an abundant number, since it is smaller than the sum of its proper divisors (220731696).

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

83909520 is a wasteful number, since it uses less digits than its factorization.

83909520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 596 counting only the distinct ones).

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

The square root of 83909520 is about 9160.2139713000. The cubic root of 83909520 is about 437.7946119043.

The spelling of 83909520 in words is "eighty-three million, nine hundred nine thousand, five hundred twenty".