1129904640 has 200 divisors, whose sum is σ = 4047704100. Its totient is φ = 301252608.

The previous prime is 1129904599. The next prime is 1129904663. The reversal of 1129904640 is 464099211.

It is a happy number.

1129904640 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1031180544 + 98724096 = 32112^2 + 9936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1129904595 and 1129904604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204636 + ... + 210084.

Almost surely, 2^1129904640 is an apocalyptic number.

1129904640 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 1129904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023852050).

1129904640 is an abundant number, since it is smaller than the sum of its proper divisors (2917799460).

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

1129904640 is an frugal number, since it uses more digits than its factorization.

1129904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1129904640 is about 33614.0542035619. The cubic root of 1129904640 is about 1041.5511370397.

The spelling of 1129904640 in words is "one billion, one hundred twenty-nine million, nine hundred four thousand, six hundred forty".