1135192968 has 512 divisors, whose sum is σ = 4231987200. Its totient is φ = 277136640.

The previous prime is 1135192963. The next prime is 1135192987. The reversal of 1135192968 is 8692915311.

1135192968 is a `hidden beast` number, since 1 + 1 + 351 + 9 + 296 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135192963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36619113 + ... + 36619143.

It is an arithmetic number, because the mean of its divisors is an integer number (8265600).

Almost surely, 2^1135192968 is an apocalyptic number.

1135192968 is a gapful number since it is divisible by the number (18) 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 1135192968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115993600).

1135192968 is an abundant number, since it is smaller than the sum of its proper divisors (3096794232).

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

1135192968 is a wasteful number, since it uses less digits than its factorization.

1135192968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 1135192968 is about 33692.6248309626. The cubic root of 1135192968 is about 1043.1735433128.

The spelling of 1135192968 in words is "one billion, one hundred thirty-five million, one hundred ninety-two thousand, nine hundred sixty-eight".