104064840 has 144 divisors (see below), whose sum is σ = 371907900. Its totient is φ = 25217280.

The previous prime is 104064839. The next prime is 104064853. The reversal of 104064840 is 48460401.

104064840 is a `hidden beast` number, since 10 + 4 + 0 + 648 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99321156 + 4743684 = 9966^2 + 2178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42366 + ... + 44754.

Almost surely, 2^104064840 is an apocalyptic number.

104064840 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 104064840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185953950).

104064840 is an abundant number, since it is smaller than the sum of its proper divisors (267843060).

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

104064840 is a wasteful number, since it uses less digits than its factorization.

104064840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104064840 is about 10201.2175743879. The cubic root of 104064840 is about 470.3646483568.

The spelling of 104064840 in words is "one hundred four million, sixty-four thousand, eight hundred forty".