1166225040 has 140 divisors (see below), whose sum is σ = 4065553404. Its totient is φ = 310977792.

The previous prime is 1166225029. The next prime is 1166225077. The reversal of 1166225040 is 405226611.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 425514384 = 27216^2 + 20628^2 .

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 = 1166224995 and 1166225013.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 48322 + ... + 68318.

Almost surely, 2^1166225040 is an apocalyptic number.

1166225040 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 1166225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032776702).

1166225040 is an abundant number, since it is smaller than the sum of its proper divisors (2899328364).

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

1166225040 is an equidigital number, since it uses as much as digits as its factorization.

1166225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20028 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1166225040 is about 34150.0371888524. The cubic root of 1166225040 is about 1052.5937508055.

It can be divided in two parts, 116 and 6225040, that added together give a triangular number (6225156 = T₃₅₂₈).

The spelling of 1166225040 in words is "one billion, one hundred sixty-six million, two hundred twenty-five thousand, forty".