1127661408 has 144 divisors (see below), whose sum is σ = 3421913040. Its totient is φ = 351019008.

The previous prime is 1127661401. The next prime is 1127661421. The reversal of 1127661408 is 8041667211.

It is a happy number.

1127661408 is a `hidden beast` number, since 11 + 27 + 6 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127661401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679716 + ... + 681372.

It is an arithmetic number, because the mean of its divisors is an integer number (23763285).

Almost surely, 2^1127661408 is an apocalyptic number.

1127661408 is a gapful number since it is divisible by the number (18) 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 1127661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710956520).

1127661408 is an abundant number, since it is smaller than the sum of its proper divisors (2294251632).

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

1127661408 is a wasteful number, since it uses less digits than its factorization.

1127661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1127661408 is about 33580.6701541229. The cubic root of 1127661408 is about 1040.8614066365.

The spelling of 1127661408 in words is "one billion, one hundred twenty-seven million, six hundred sixty-one thousand, four hundred eight".