87300000 has 216 divisors, whose sum is σ = 313503372. Its totient is φ = 23040000.

The previous prime is 87299987. The next prime is 87300013. The reversal of 87300000 is 378.

It is an interprime number because it is at equal distance from previous prime (87299987) and next prime (87300013).

It can be written as a sum of positive squares in 6 ways, for example, as 12027024 + 75272976 = 3468^2 + 8676^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

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 35 ways as a sum of consecutive naturals, for example, 899952 + ... + 900048.

Almost surely, 2^87300000 is an apocalyptic number.

87300000 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 87300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156751686).

87300000 is an abundant number, since it is smaller than the sum of its proper divisors (226203372).

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

87300000 is an equidigital number, since it uses as much as digits as its factorization.

87300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 87300000 is about 9343.4469014385. The cubic root of 87300000 is about 443.6134936864.

Adding to 87300000 its reverse (378), we get a palindrome (87300378).

The spelling of 87300000 in words is "eighty-seven million, three hundred thousand".