1129947840 has 672 divisors, whose sum is σ = 4941051840. Its totient is φ = 241532928.

The previous prime is 1129947839. The next prime is 1129947883. The reversal of 1129947840 is 487499211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1129947840² = 2553564242241331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7197042 + ... + 7197198.

Almost surely, 2^1129947840 is an apocalyptic number.

1129947840 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 1129947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470525920).

1129947840 is an abundant number, since it is smaller than the sum of its proper divisors (3811104000).

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

1129947840 is a wasteful number, since it uses less digits than its factorization.

1129947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1129947840 is about 33614.6967857811. The cubic root of 1129947840 is about 1041.5644108548.

The spelling of 1129947840 in words is "one billion, one hundred twenty-nine million, nine hundred forty-seven thousand, eight hundred forty".