1127672616 has 128 divisors (see below), whose sum is σ = 3341721600. Its totient is φ = 310314240.

The previous prime is 1127672599. The next prime is 1127672617. The reversal of 1127672616 is 6162767211.

It is a super-4 number, since 4×1127672616⁴ (a number of 37 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1127672617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1525575 + ... + 1526313.

It is an arithmetic number, because the mean of its divisors is an integer number (26107200).

Almost surely, 2^1127672616 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 1127672616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670860800).

1127672616 is an abundant number, since it is smaller than the sum of its proper divisors (2214048984).

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

1127672616 is a wasteful number, since it uses less digits than its factorization.

1127672616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 1127672616 is about 33580.8370354284. The cubic root of 1127672616 is about 1040.8648550522.

The spelling of 1127672616 in words is "one billion, one hundred twenty-seven million, six hundred seventy-two thousand, six hundred sixteen".