867520320 has 112 divisors (see below), whose sum is σ = 2792333760. Its totient is φ = 228151296.

The previous prime is 867520307. The next prime is 867520333. The reversal of 867520320 is 23025768.

867520320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (867520307) and next prime (867520333).

It is a super-2 number, since 2×867520320² = 1505183011225804800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63891 + ... + 76269.

Almost surely, 2^867520320 is an apocalyptic number.

867520320 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 867520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396166880).

867520320 is an abundant number, since it is smaller than the sum of its proper divisors (1924813440).

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

867520320 is a wasteful number, since it uses less digits than its factorization.

867520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12472 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 867520320 is about 29453.6979002637. The cubic root of 867520320 is about 953.7324337864.

The spelling of 867520320 in words is "eight hundred sixty-seven million, five hundred twenty thousand, three hundred twenty".