1147011840 has 720 divisors, whose sum is σ = 4736749248. Its totient is φ = 262766592.

The previous prime is 1147011839. The next prime is 1147011869. The reversal of 1147011840 is 481107411.

1147011840 is a `hidden beast` number, since 11 + 470 + 1 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1147011840² = 2631272322200371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31000302 + ... + 31000338.

Almost surely, 2^1147011840 is an apocalyptic number.

1147011840 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 1147011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368374624).

1147011840 is an abundant number, since it is smaller than the sum of its proper divisors (3589737408).

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

1147011840 is a wasteful number, since it uses less digits than its factorization.

1147011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1147011840 is about 33867.5632427253. The cubic root of 1147011840 is about 1046.7813272271.

The spelling of 1147011840 in words is "one billion, one hundred forty-seven million, eleven thousand, eight hundred forty".