1135632120 has 256 divisors, whose sum is σ = 4071168000. Its totient is φ = 248002560.

The previous prime is 1135632103. The next prime is 1135632139. The reversal of 1135632120 is 212365311.

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

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, 1895581 + ... + 1896179.

It is an arithmetic number, because the mean of its divisors is an integer number (15903000).

Almost surely, 2^1135632120 is an apocalyptic number.

1135632120 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 1135632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584000).

1135632120 is an abundant number, since it is smaller than the sum of its proper divisors (2935535880).

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

1135632120 is a wasteful number, since it uses less digits than its factorization.

1135632120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1135632120 is about 33699.1412353490. The cubic root of 1135632120 is about 1043.3080439952.

Adding to 1135632120 its reverse (212365311), we get a palindrome (1347997431).

The spelling of 1135632120 in words is "one billion, one hundred thirty-five million, six hundred thirty-two thousand, one hundred twenty".