87833200 has 240 divisors, whose sum is σ = 275537920. Its totient is φ = 26127360.

The previous prime is 87833171. The next prime is 87833201. The reversal of 87833200 is 233878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87833201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 691537 + ... + 691663.

Almost surely, 2^87833200 is an apocalyptic number.

87833200 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 87833200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137768960).

87833200 is an abundant number, since it is smaller than the sum of its proper divisors (187704720).

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

87833200 is a wasteful number, since it uses less digits than its factorization.

87833200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 87833200 is about 9371.9368329071. The cubic root of 87833200 is about 444.5148101552.

The spelling of 87833200 in words is "eighty-seven million, eight hundred thirty-three thousand, two hundred".