1168007904 has 288 divisors, whose sum is σ = 4054095360. Its totient is φ = 326059776.

The previous prime is 1168007903. The next prime is 1168007909. The reversal of 1168007904 is 4097008611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168007903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989499 + ... + 1990085.

It is an arithmetic number, because the mean of its divisors is an integer number (14076720).

Almost surely, 2^1168007904 is an apocalyptic number.

1168007904 is a gapful number since it is divisible by the number (14) 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 1168007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027047680).

1168007904 is an abundant number, since it is smaller than the sum of its proper divisors (2886087456).

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

1168007904 is a wasteful number, since it uses less digits than its factorization.

1168007904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1168007904 is about 34176.1306177279. The cubic root of 1168007904 is about 1053.1298611768.

The spelling of 1168007904 in words is "one billion, one hundred sixty-eight million, seven thousand, nine hundred four".