87141600 has 648 divisors, whose sum is σ = 405208440. Its totient is φ = 17418240.

The previous prime is 87141583. The next prime is 87141601. The reversal of 87141600 is 614178.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87141601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4586391 + ... + 4586409.

Almost surely, 2^87141600 is an apocalyptic number.

87141600 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 87141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

87141600 is an abundant number, since it is smaller than the sum of its proper divisors (318066840).

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

87141600 is a wasteful number, since it uses less digits than its factorization.

87141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87141600 is about 9334.9665237750. The cubic root of 87141600 is about 443.3450289312.

Adding to 87141600 its reverse (614178), we get a palindrome (87755778).

The spelling of 87141600 in words is "eighty-seven million, one hundred forty-one thousand, six hundred".