87241600 has 96 divisors (see below), whose sum is σ = 218178000. Its totient is φ = 34467840.

The previous prime is 87241579. The next prime is 87241613. The reversal of 87241600 is 614278.

It is a super-2 number, since 2×87241600² = 15222193541120000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 438301 + ... + 438499.

Almost surely, 2^87241600 is an apocalyptic number.

87241600 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 87241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109089000).

87241600 is an abundant number, since it is smaller than the sum of its proper divisors (130936400).

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

87241600 is a wasteful number, since it uses less digits than its factorization.

87241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 87241600 is about 9340.3211936207. The cubic root of 87241600 is about 443.5145520786.

Adding to 87241600 its reverse (614278), we get a palindrome (87855878).

The spelling of 87241600 in words is "eighty-seven million, two hundred forty-one thousand, six hundred".