867625440 has 192 divisors, whose sum is σ = 3023661312. Its totient is φ = 207360000.

The previous prime is 867625403. The next prime is 867625453. The reversal of 867625440 is 44526768.

It is a junction number, because it is equal to n+sod(n) for n = 867625392 and 867625401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384315 + ... + 386565.

It is an arithmetic number, because the mean of its divisors is an integer number (15748236).

Almost surely, 2^867625440 is an apocalyptic number.

867625440 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 867625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511830656).

867625440 is an abundant number, since it is smaller than the sum of its proper divisors (2156035872).

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

867625440 is a wasteful number, since it uses less digits than its factorization.

867625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 867625440 is about 29455.4823420021. The cubic root of 867625440 is about 953.7709544227.

The spelling of 867625440 in words is "eight hundred sixty-seven million, six hundred twenty-five thousand, four hundred forty".