1126938960 has 320 divisors, whose sum is σ = 4501378560. Its totient is φ = 253808640.

The previous prime is 1126938937. The next prime is 1126938961. The reversal of 1126938960 is 698396211.

It is a happy number.

1126938960 is a `hidden beast` number, since 1 + 1 + 269 + 389 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126938961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103250 + ... + 1104270.

It is an arithmetic number, because the mean of its divisors is an integer number (14066808).

Almost surely, 2^1126938960 is an apocalyptic number.

1126938960 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 1126938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250689280).

1126938960 is an abundant number, since it is smaller than the sum of its proper divisors (3374439600).

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

1126938960 is a wasteful number, since it uses less digits than its factorization.

1126938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1126938960 is about 33569.9115280336. The cubic root of 1126938960 is about 1040.6390795920.

It can be divided in two parts, 11269389 and 60, that added together give a square (11269449 = 3357²).

The spelling of 1126938960 in words is "one billion, one hundred twenty-six million, nine hundred thirty-eight thousand, nine hundred sixty".