210087864 has 256 divisors, whose sum is σ = 718848000. Its totient is φ = 55520640.

The previous prime is 210087863. The next prime is 210087881. The reversal of 210087864 is 468780012.

210087864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210087863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2039637 + ... + 2039739.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2^210087864 is an apocalyptic number.

210087864 is a gapful number since it is divisible by the number (24) 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 210087864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359424000).

210087864 is an abundant number, since it is smaller than the sum of its proper divisors (508760136).

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

210087864 is a wasteful number, since it uses less digits than its factorization.

210087864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 210087864 is about 14494.4080251661. The cubic root of 210087864 is about 594.4750816157.

The spelling of 210087864 in words is "two hundred ten million, eighty-seven thousand, eight hundred sixty-four".