87210630 has 96 divisors (see below), whose sum is σ = 246486240. Its totient is φ = 21265920.

The previous prime is 87210623. The next prime is 87210631. The reversal of 87210630 is 3601278.

87210630 is a `hidden beast` number, since 8 + 7 + 21 + 0 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87210594 and 87210603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87210631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152986 + ... + 153554.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^87210630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87210630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123243120).

87210630 is an abundant number, since it is smaller than the sum of its proper divisors (159275610).

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

87210630 is a wasteful number, since it uses less digits than its factorization.

87210630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87210630 is about 9338.6631805628. The cubic root of 87210630 is about 443.4620646134.

The spelling of 87210630 in words is "eighty-seven million, two hundred ten thousand, six hundred thirty".