1166829480 has 96 divisors (see below), whose sum is σ = 3799209960. Its totient is φ = 310579200.

The previous prime is 1166829479. The next prime is 1166829481. The reversal of 1166829480 is 849286611.

1166829480 is a `hidden beast` number, since 1 + 166 + 8 + 2 + 9 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1166829479) and next prime (1166829481).

It can be written as a sum of positive squares in 4 ways, for example, as 1166768964 + 60516 = 34158^2 + 246^2 .

It is a super-2 number, since 2×1166829480² = 2722982070794140800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1166829481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213664 + ... + 219056.

Almost surely, 2^1166829480 is an apocalyptic number.

1166829480 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 1166829480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899604980).

1166829480 is an abundant number, since it is smaller than the sum of its proper divisors (2632380480).

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

1166829480 is a wasteful number, since it uses less digits than its factorization.

1166829480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1166829480 is about 34158.8858132112. The cubic root of 1166829480 is about 1052.7755681678.

The spelling of 1166829480 in words is "one billion, one hundred sixty-six million, eight hundred twenty-nine thousand, four hundred eighty".