87097200 has 120 divisors (see below), whose sum is σ = 281242416. Its totient is φ = 23040000.

The previous prime is 87097189. The next prime is 87097201. The reversal of 87097200 is 279078.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87097201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217000 + ... + 217400.

Almost surely, 2^87097200 is an apocalyptic number.

87097200 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 87097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140621208).

87097200 is an abundant number, since it is smaller than the sum of its proper divisors (194145216).

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

87097200 is a wasteful number, since it uses less digits than its factorization.

87097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 87097200 is about 9332.5880654832. The cubic root of 87097200 is about 443.2697190776.

The spelling of 87097200 in words is "eighty-seven million, ninety-seven thousand, two hundred".