83520000 has 300 divisors, whose sum is σ = 311595570. Its totient is φ = 21504000.

The previous prime is 83519977. The next prime is 83520001. The reversal of 83520000 is 2538.

It can be written as a sum of positive squares in 5 ways, for example, as 1218816 + 82301184 = 1104^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (83520001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 2879986 + ... + 2880014.

Almost surely, 2^83520000 is an apocalyptic number.

83520000 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 83520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155797785).

83520000 is an abundant number, since it is smaller than the sum of its proper divisors (228075570).

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

83520000 is an equidigital number, since it uses as much as digits as its factorization.

83520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 83520000 is about 9138.9277270367. The cubic root of 83520000 is about 437.1161258622.

Adding to 83520000 its reverse (2538), we get a palindrome (83522538).

The spelling of 83520000 in words is "eighty-three million, five hundred twenty thousand".