83552000 has 144 divisors (see below), whose sum is σ = 238510272. Its totient is φ = 28569600.

The previous prime is 83551999. The next prime is 83552011. The reversal of 83552000 is 25538.

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 15 ways as a sum of consecutive naturals, for example, 223814 + ... + 224186.

Almost surely, 2^83552000 is an apocalyptic number.

83552000 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 83552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119255136).

83552000 is an abundant number, since it is smaller than the sum of its proper divisors (154958272).

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

83552000 is an equidigital number, since it uses as much as digits as its factorization.

83552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 83552000 is about 9140.6783118103. The cubic root of 83552000 is about 437.1719445482.

Adding to 83552000 its reverse (25538), we get a palindrome (83577538).

The spelling of 83552000 in words is "eighty-three million, five hundred fifty-two thousand".