1163667520 has 112 divisors (see below), whose sum is σ = 2908523520. Its totient is φ = 442607616.

The previous prime is 1163667517. The next prime is 1163667539. The reversal of 1163667520 is 257663611.

It is a self number, because there is not a number n which added to its sum of digits gives 1163667520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640926 + ... + 1641634.

It is an arithmetic number, because the mean of its divisors is an integer number (25968960).

Almost surely, 2^1163667520 is an apocalyptic number.

1163667520 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 1163667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454261760).

1163667520 is an abundant number, since it is smaller than the sum of its proper divisors (1744856000).

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

1163667520 is a wasteful number, since it uses less digits than its factorization.

1163667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 1163667520 is about 34112.5712897753. The cubic root of 1163667520 is about 1051.8237450911.

The spelling of 1163667520 in words is "one billion, one hundred sixty-three million, six hundred sixty-seven thousand, five hundred twenty".