87410880 has 224 divisors, whose sum is σ = 315041280. Its totient is φ = 22809600.

The previous prime is 87410863. The next prime is 87410881. The reversal of 87410880 is 8801478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87410881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 578805 + ... + 578955.

Almost surely, 2^87410880 is an apocalyptic number.

87410880 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 87410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157520640).

87410880 is an abundant number, since it is smaller than the sum of its proper divisors (227630400).

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

87410880 is a wasteful number, since it uses less digits than its factorization.

87410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87410880 is about 9349.3785889758. The cubic root of 87410880 is about 443.8012258525.

The spelling of 87410880 in words is "eighty-seven million, four hundred ten thousand, eight hundred eighty".