1127637264 has 160 divisors (see below), whose sum is σ = 3231043200. Its totient is φ = 336752640.

The previous prime is 1127637241. The next prime is 1127637293. The reversal of 1127637264 is 4627367211.

It is a super-2 number, since 2×1127637264² = 2543131598322811392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4012804 + ... + 4013084.

It is an arithmetic number, because the mean of its divisors is an integer number (20194020).

Almost surely, 2^1127637264 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 1127637264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615521600).

1127637264 is an abundant number, since it is smaller than the sum of its proper divisors (2103405936).

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

1127637264 is a wasteful number, since it uses less digits than its factorization.

1127637264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 1127637264 is about 33580.3106596708. The cubic root of 1127637264 is about 1040.8539780659.

The spelling of 1127637264 in words is "one billion, one hundred twenty-seven million, six hundred thirty-seven thousand, two hundred sixty-four".