867540000 has 240 divisors, whose sum is σ = 2999414880. Its totient is φ = 218880000.

The previous prime is 867539993. The next prime is 867540029. The reversal of 867540000 is 45768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 867540000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139620 + ... + 1140380.

It is an arithmetic number, because the mean of its divisors is an integer number (12497562).

Almost surely, 2^867540000 is an apocalyptic number.

867540000 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 867540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499707440).

867540000 is an abundant number, since it is smaller than the sum of its proper divisors (2131874880).

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

867540000 is a wasteful number, since it uses less digits than its factorization.

867540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 867540000 is about 29454.0319820564. The cubic root of 867540000 is about 953.7396456491.

Adding to 867540000 its reverse (45768), we get a palindrome (867585768).

The spelling of 867540000 in words is "eight hundred sixty-seven million, five hundred forty thousand".