1163883840 has 448 divisors, whose sum is σ = 4506943488. Its totient is φ = 248832000.

The previous prime is 1163883821. The next prime is 1163883857. The reversal of 1163883840 is 483883611.

1163883840 = 476² + 477² + ... + 1532².

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1163883792 and 1163883801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7707765 + ... + 7707915.

Almost surely, 2^1163883840 is an apocalyptic number.

1163883840 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 1163883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253471744).

1163883840 is an abundant number, since it is smaller than the sum of its proper divisors (3343059648).

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

1163883840 is a wasteful number, since it uses less digits than its factorization.

1163883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1163883840 is about 34115.7418210421. The cubic root of 1163883840 is about 1051.8889173192. Note that the first 3 decimals are identical.

The spelling of 1163883840 in words is "one billion, one hundred sixty-three million, eight hundred eighty-three thousand, eight hundred forty".