1127149632 has 84 divisors (see below), whose sum is σ = 3692322816. Its totient is φ = 322041600.

The previous prime is 1127149631. The next prime is 1127149651. The reversal of 1127149632 is 2369417211.

1127149632 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 14 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

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 (1127149631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135744 + ... + 143807.

It is an arithmetic number, because the mean of its divisors is an integer number (43956224).

Almost surely, 2^1127149632 is an apocalyptic number.

1127149632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1127149632 is an abundant number, since it is smaller than the sum of its proper divisors (2565173184).

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

1127149632 is a wasteful number, since it uses less digits than its factorization.

1127149632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279576 (or 279563 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1127149632 is about 33573.0491912784. The cubic root of 1127149632 is about 1040.7039218665.

The spelling of 1127149632 in words is "one billion, one hundred twenty-seven million, one hundred forty-nine thousand, six hundred thirty-two".