867672000 has 560 divisors, whose sum is σ = 3490398912. Its totient is φ = 211507200.

The previous prime is 867671999. The next prime is 867672011. The reversal of 867672000 is 276768.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423949 + ... + 8424051.

Almost surely, 2^867672000 is an apocalyptic number.

867672000 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 867672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745199456).

867672000 is an abundant number, since it is smaller than the sum of its proper divisors (2622726912).

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

867672000 is a wasteful number, since it uses less digits than its factorization.

867672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 867672000 is about 29456.2726766304. The cubic root of 867672000 is about 953.7880150802.

The spelling of 867672000 in words is "eight hundred sixty-seven million, six hundred seventy-two thousand".