1126616040 has 384 divisors, whose sum is σ = 4259848320. Its totient is φ = 265420800.

The previous prime is 1126616003. The next prime is 1126616047. The reversal of 1126616040 is 406166211.

1126616040 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 616 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1126615995 and 1126616013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126616047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4383592 + ... + 4383848.

It is an arithmetic number, because the mean of its divisors is an integer number (11093355).

Almost surely, 2^1126616040 is an apocalyptic number.

1126616040 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 1126616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129924160).

1126616040 is an abundant number, since it is smaller than the sum of its proper divisors (3133232280).

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

1126616040 is a wasteful number, since it uses less digits than its factorization.

1126616040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1126616040 is about 33565.1015192864. The cubic root of 1126616040 is about 1040.5396730622.

The spelling of 1126616040 in words is "one billion, one hundred twenty-six million, six hundred sixteen thousand, forty".