867407120 has 20 divisors (see below), whose sum is σ = 2016721740. Its totient is φ = 346962816.

The previous prime is 867407113. The next prime is 867407147. The reversal of 867407120 is 21704768.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 616628224 + 250778896 = 24832^2 + 15836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×867407120² = 1504790223653388800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5421215 + ... + 5421374.

It is an arithmetic number, because the mean of its divisors is an integer number (100836087).

Almost surely, 2^867407120 is an apocalyptic number.

867407120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

867407120 is an abundant number, since it is smaller than the sum of its proper divisors (1149314620).

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

867407120 is a wasteful number, since it uses less digits than its factorization.

867407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10842602 (or 10842596 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 867407120 is about 29451.7761773378. The cubic root of 867407120 is about 953.6909487993.

The spelling of 867407120 in words is "eight hundred sixty-seven million, four hundred seven thousand, one hundred twenty".