867651840 has 432 divisors, whose sum is σ = 3374856576. Its totient is φ = 203980800.

The previous prime is 867651823. The next prime is 867651877. The reversal of 867651840 is 48156768.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5195437 + ... + 5195603.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2^867651840 is an apocalyptic number.

867651840 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 867651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428288).

867651840 is an abundant number, since it is smaller than the sum of its proper divisors (2507204736).

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

867651840 is a wasteful number, since it uses less digits than its factorization.

867651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 867651840 is about 29455.9304724872. The cubic root of 867651840 is about 953.7806280663.

It can be divided in two parts, 8676 and 51840, that added together give a square (60516 = 246²).

The spelling of 867651840 in words is "eight hundred sixty-seven million, six hundred fifty-one thousand, eight hundred forty".