83153520 has 160 divisors (see below), whose sum is σ = 289535040. Its totient is φ = 21934080.

The previous prime is 83153509. The next prime is 83153561. The reversal of 83153520 is 2535138.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 295780 + ... + 296060.

It is an arithmetic number, because the mean of its divisors is an integer number (1809594).

Almost surely, 2^83153520 is an apocalyptic number.

83153520 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 83153520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144767520).

83153520 is an abundant number, since it is smaller than the sum of its proper divisors (206381520).

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

83153520 is a wasteful number, since it uses less digits than its factorization.

83153520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 83153520 is about 9118.8551913055. The cubic root of 83153520 is about 436.4758433036.

Adding to 83153520 its reverse (2535138), we get a palindrome (85688658).

The spelling of 83153520 in words is "eighty-three million, one hundred fifty-three thousand, five hundred twenty".