1008080640 has 432 divisors, whose sum is σ = 4142681088. Its totient is φ = 229920768.

The previous prime is 1008080627. The next prime is 1008080641. The reversal of 1008080640 is 460808001.

1008080640 is a `hidden beast` number, since 10 + 0 + 8 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008080641) 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, 2177049 + ... + 2177511.

Almost surely, 2^1008080640 is an apocalyptic number.

1008080640 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 1008080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071340544).

1008080640 is an abundant number, since it is smaller than the sum of its proper divisors (3134600448).

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

1008080640 is an frugal number, since it uses more digits than its factorization.

1008080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1008080640 is about 31750.2856680062. The cubic root of 1008080640 is about 1002.6863238689.

Adding to 1008080640 its reverse (460808001), we get a palindrome (1468888641).

The spelling of 1008080640 in words is "one billion, eight million, eighty thousand, six hundred forty".