1127349504 has 162 divisors, whose sum is σ = 3329936610. Its totient is φ = 366778368.

The previous prime is 1127349493. The next prime is 1127349547. The reversal of 1127349504 is 4059437211.

1127349504 is a `hidden beast` number, since 112 + 7 + 34 + 9 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1034265600 + 93083904 = 32160^2 + 9648^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10342602 + ... + 10342710.

Almost surely, 2^1127349504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664968305).

1127349504 is an abundant number, since it is smaller than the sum of its proper divisors (2202587106).

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

1127349504 is an equidigital number, since it uses as much as digits as its factorization.

1127349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1127349504 is about 33576.0257326563. The cubic root of 1127349504 is about 1040.7654325641.

The spelling of 1127349504 in words is "one billion, one hundred twenty-seven million, three hundred forty-nine thousand, five hundred four".