1004106240 has 320 divisors, whose sum is σ = 3633696000. Its totient is φ = 262766592.

The previous prime is 1004106227. The next prime is 1004106247. The reversal of 1004106240 is 426014001.

1004106240 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1004106247) 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, 5045661 + ... + 5045859.

It is an arithmetic number, because the mean of its divisors is an integer number (11355300).

Almost surely, 2^1004106240 is an apocalyptic number.

1004106240 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 1004106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816848000).

1004106240 is an abundant number, since it is smaller than the sum of its proper divisors (2629589760).

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

1004106240 is an equidigital number, since it uses as much as digits as its factorization.

1004106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004106240 is about 31687.6354434975. The cubic root of 1004106240 is about 1001.3668774614.

The spelling of 1004106240 in words is "one billion, four million, one hundred six thousand, two hundred forty".