83361520 has 80 divisors (see below), whose sum is σ = 216450432. Its totient is φ = 29594880.

The previous prime is 83361517. The next prime is 83361521. The reversal of 83361520 is 2516338.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83361521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36739 + ... + 38941.

Almost surely, 2^83361520 is an apocalyptic number.

83361520 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 83361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108225216).

83361520 is an abundant number, since it is smaller than the sum of its proper divisors (133088912).

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

83361520 is a wasteful number, since it uses less digits than its factorization.

83361520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 83361520 is about 9130.2530085425. The cubic root of 83361520 is about 436.8394734595.

Adding to 83361520 its reverse (2516338), we get a palindrome (85877858).

The spelling of 83361520 in words is "eighty-three million, three hundred sixty-one thousand, five hundred twenty".