867966720 has 288 divisors, whose sum is σ = 2936001600. Its totient is φ = 218234880.

The previous prime is 867966713. The next prime is 867966731. The reversal of 867966720 is 27669768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5825206 + ... + 5825354.

It is an arithmetic number, because the mean of its divisors is an integer number (10194450).

Almost surely, 2^867966720 is an apocalyptic number.

867966720 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 867966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468000800).

867966720 is an abundant number, since it is smaller than the sum of its proper divisors (2068034880).

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

867966720 is a wasteful number, since it uses less digits than its factorization.

867966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 867966720 is about 29461.2749214965. The cubic root of 867966720 is about 953.8959931268.

The spelling of 867966720 in words is "eight hundred sixty-seven million, nine hundred sixty-six thousand, seven hundred twenty".