87410000 has 50 divisors (see below), whose sum is σ = 211652562. Its totient is φ = 34960000.

The previous prime is 87409999. The next prime is 87410077. The reversal of 87410000 is 1478.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 49168144 + 38241856 = 7012^2 + 6184^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5630 + ... + 14370.

Almost surely, 2^87410000 is an apocalyptic number.

87410000 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 87410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105826281).

87410000 is an abundant number, since it is smaller than the sum of its proper divisors (124242562).

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

87410000 is an equidigital number, since it uses as much as digits as its factorization.

87410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 87410000 is about 9349.3315269061. The cubic root of 87410000 is about 443.7997365399.

Adding to 87410000 its reverse (1478), we get a palindrome (87411478).

The spelling of 87410000 in words is "eighty-seven million, four hundred ten thousand".