867475840 has 256 divisors, whose sum is σ = 2679091200. Its totient is φ = 260628480.

The previous prime is 867475793. The next prime is 867475849. The reversal of 867475840 is 48574768.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867475849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428817 + ... + 1429423.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2^867475840 is an apocalyptic number.

867475840 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 867475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339545600).

867475840 is an abundant number, since it is smaller than the sum of its proper divisors (1811615360).

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

867475840 is a wasteful number, since it uses less digits than its factorization.

867475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 867475840 is about 29452.9428071288. The cubic root of 867475840 is about 953.7161334021.

The spelling of 867475840 in words is "eight hundred sixty-seven million, four hundred seventy-five thousand, eight hundred forty".