1129797600 has 72 divisors (see below), whose sum is σ = 3677499000. Its totient is φ = 301278720.

The previous prime is 1129797593. The next prime is 1129797607. The reversal of 1129797600 is 67979211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1129797593) and next prime (1129797607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129797607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232975 + ... + 237774.

It is an arithmetic number, because the mean of its divisors is an integer number (51076375).

Almost surely, 2^1129797600 is an apocalyptic number.

1129797600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1129797600 is an abundant number, since it is smaller than the sum of its proper divisors (2547701400).

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

1129797600 is a wasteful number, since it uses less digits than its factorization.

1129797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470772 (or 470759 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The square root of 1129797600 is about 33612.4619746903. The cubic root of 1129797600 is about 1041.5182460179.

The spelling of 1129797600 in words is "one billion, one hundred twenty-nine million, seven hundred ninety-seven thousand, six hundred".