1162632960 has 144 divisors (see below), whose sum is σ = 4125854880. Its totient is φ = 310026240.

The previous prime is 1162632929. The next prime is 1162632973. The reversal of 1162632960 is 692362611.

It is a happy number.

1162632960 is a `hidden beast` number, since 1 + 1 + 626 + 3 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 17740 + ... + 51380.

It is an arithmetic number, because the mean of its divisors is an integer number (28651770).

Almost surely, 2^1162632960 is an apocalyptic number.

1162632960 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 1162632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062927440).

1162632960 is an abundant number, since it is smaller than the sum of its proper divisors (2963221920).

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

1162632960 is an equidigital number, since it uses as much as digits as its factorization.

1162632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33671 (or 33651 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1162632960 is about 34097.4040067569. The cubic root of 1162632960 is about 1051.5119442845.

The spelling of 1162632960 in words is "one billion, one hundred sixty-two million, six hundred thirty-two thousand, nine hundred sixty".