87923200 has 60 divisors (see below), whose sum is σ = 217868310. Its totient is φ = 35164160.

The previous prime is 87923183. The next prime is 87923219. The reversal of 87923200 is 232978.

It can be written as a sum of positive squares in 3 ways, for example, as 36772096 + 51151104 = 6064^2 + 7152^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9366 + ... + 16234.

Almost surely, 2^87923200 is an apocalyptic number.

87923200 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 87923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108934155).

87923200 is an abundant number, since it is smaller than the sum of its proper divisors (129945110).

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

87923200 is an equidigital number, since it uses as much as digits as its factorization.

87923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 87923200 is about 9376.7371723857. The cubic root of 87923200 is about 444.6665852481. Note that the first 3 decimals are identical.

The spelling of 87923200 in words is "eighty-seven million, nine hundred twenty-three thousand, two hundred".