87091200 has 432 divisors, whose sum is σ = 369663840. Its totient is φ = 19906560.

The previous prime is 87091181. The next prime is 87091201. The reversal of 87091200 is 219078.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 4!.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (87091201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441597 + ... + 12441603.

Almost surely, 2^87091200 is an apocalyptic number.

87091200 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 87091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

87091200 is an abundant number, since it is smaller than the sum of its proper divisors (282572640).

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

87091200 is an equidigital number, since it uses as much as digits as its factorization.

87091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 87091200 is about 9332.2666057073. The cubic root of 87091200 is about 443.2595401075.

The spelling of 87091200 in words is "eighty-seven million, ninety-one thousand, two hundred".