87041280 has 144 divisors (see below), whose sum is σ = 292864320. Its totient is φ = 21970944.

The previous prime is 87041249. The next prime is 87041281. The reversal of 87041280 is 8214078.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87041281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72364 + ... + 73556.

It is an arithmetic number, because the mean of its divisors is an integer number (2033780).

Almost surely, 2^87041280 is an apocalyptic number.

87041280 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 87041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146432160).

87041280 is an abundant number, since it is smaller than the sum of its proper divisors (205823040).

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

87041280 is a wasteful number, since it uses less digits than its factorization.

87041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 87041280 is about 9329.5916309343. The cubic root of 87041280 is about 443.1748329447.

The spelling of 87041280 in words is "eighty-seven million, forty-one thousand, two hundred eighty".