87133200 has 480 divisors, whose sum is σ = 371976192. Its totient is φ = 16896000.

The previous prime is 87133199. The next prime is 87133201. The reversal of 87133200 is 233178.

It is an interprime number because it is at equal distance from previous prime (87133199) and next prime (87133201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87133201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2125180 + ... + 2125220.

Almost surely, 2^87133200 is an apocalyptic number.

87133200 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 87133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

87133200 is an abundant number, since it is smaller than the sum of its proper divisors (284842992).

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

87133200 is a wasteful number, since it uses less digits than its factorization.

87133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 87133200 is about 9334.5165916613. The cubic root of 87133200 is about 443.3307830834.

Adding to 87133200 its reverse (233178), we get a palindrome (87366378).

The spelling of 87133200 in words is "eighty-seven million, one hundred thirty-three thousand, two hundred".