1163904000 has 352 divisors, whose sum is σ = 4434882816. Its totient is φ = 265420800.

The previous prime is 1163903989. The next prime is 1163904013. The reversal of 1163904000 is 4093611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687784 + ... + 2688216.

Almost surely, 2^1163904000 is an apocalyptic number.

1163904000 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 1163904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217441408).

1163904000 is an abundant number, since it is smaller than the sum of its proper divisors (3270978816).

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

1163904000 is an equidigital number, since it uses as much as digits as its factorization.

1163904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1163904000 is about 34116.0372845382. The cubic root of 1163904000 is about 1051.8949906509.

Adding to 1163904000 its reverse (4093611), we get a palindrome (1167997611).

The spelling of 1163904000 in words is "one billion, one hundred sixty-three million, nine hundred four thousand".