867069900 has 144 divisors (see below), whose sum is σ = 2835235200. Its totient is φ = 227257920.

The previous prime is 867069839. The next prime is 867069901. The reversal of 867069900 is 9960768.

It is a super-2 number, since 2×867069900² = 1503620422972020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (867069901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156579 + ... + 162021.

Almost surely, 2^867069900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867069900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417617600).

867069900 is an abundant number, since it is smaller than the sum of its proper divisors (1968165300).

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

867069900 is a wasteful number, since it uses less digits than its factorization.

867069900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 867069900 is about 29446.0506689777. The cubic root of 867069900 is about 953.5673446540.

The spelling of 867069900 in words is "eight hundred sixty-seven million, sixty-nine thousand, nine hundred".