1135690400 has 72 divisors (see below), whose sum is σ = 2985801084. Its totient is φ = 419328000.

The previous prime is 1135690399. The next prime is 1135690421. The reversal of 1135690400 is 40965311.

It can be written as a sum of positive squares in 6 ways, for example, as 408201616 + 727488784 = 20204^2 + 26972^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44201 + ... + 65000.

Almost surely, 2^1135690400 is an apocalyptic number.

1135690400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135690400 is an abundant number, since it is smaller than the sum of its proper divisors (1850110684).

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

1135690400 is a wasteful number, since it uses less digits than its factorization.

1135690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109234 (or 109221 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1135690400 is about 33700.0059347176. The cubic root of 1135690400 is about 1043.3258910168.

The spelling of 1135690400 in words is "one billion, one hundred thirty-five million, six hundred ninety thousand, four hundred".