104167440 has 240 divisors, whose sum is σ = 389975040. Its totient is φ = 24744960.

The previous prime is 104167397. The next prime is 104167447. The reversal of 104167440 is 44761401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104167447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289981 + ... + 290339.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^104167440 is an apocalyptic number.

104167440 is a gapful number since it is divisible by the number (10) 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 104167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

104167440 is an abundant number, since it is smaller than the sum of its proper divisors (285807600).

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

104167440 is a wasteful number, since it uses less digits than its factorization.

104167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104167440 is about 10206.2451469676. The cubic root of 104167440 is about 470.5191788129.

The spelling of 104167440 in words is "one hundred four million, one hundred sixty-seven thousand, four hundred forty".