1126611640 has 128 divisors (see below), whose sum is σ = 3187537920. Its totient is φ = 351035520.

The previous prime is 1126611637. The next prime is 1126611649. The reversal of 1126611640 is 461166211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1126611599 and 1126611608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126611649) 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, 371169 + ... + 374191.

It is an arithmetic number, because the mean of its divisors is an integer number (24902640).

Almost surely, 2^1126611640 is an apocalyptic number.

1126611640 is a gapful number since it is divisible by the number (10) 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 1126611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593768960).

1126611640 is an abundant number, since it is smaller than the sum of its proper divisors (2060926280).

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

1126611640 is a wasteful number, since it uses less digits than its factorization.

1126611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1126611640 is about 33565.0359749547. The cubic root of 1126611640 is about 1040.5383184509.

Adding to 1126611640 its reverse (461166211), we get a palindrome (1587777851).

It can be divided in two parts, 1126611 and 640, that added together give a triangular number (1127251 = T₁₅₀₁).

The spelling of 1126611640 in words is "one billion, one hundred twenty-six million, six hundred eleven thousand, six hundred forty".