1163967840 has 384 divisors, whose sum is σ = 4739696640. Its totient is φ = 261273600.

The previous prime is 1163967839. The next prime is 1163967853. The reversal of 1163967840 is 487693611.

It is a happy number.

1163967840 is a `hidden beast` number, since 1 + 1 + 639 + 6 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×1163967840² = 2709642265108531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844325 + ... + 1844955.

It is an arithmetic number, because the mean of its divisors is an integer number (12342960).

Almost surely, 2^1163967840 is an apocalyptic number.

1163967840 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 1163967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369848320).

1163967840 is an abundant number, since it is smaller than the sum of its proper divisors (3575728800).

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

1163967840 is a wasteful number, since it uses less digits than its factorization.

1163967840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1163967840 is about 34116.9729020615. The cubic root of 1163967840 is about 1051.9142224056.

The spelling of 1163967840 in words is "one billion, one hundred sixty-three million, nine hundred sixty-seven thousand, eight hundred forty".