1166361504 has 144 divisors (see below), whose sum is σ = 3885519456. Its totient is φ = 302937600.

The previous prime is 1166361473. The next prime is 1166361529. The reversal of 1166361504 is 4051636611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40474 + ... + 63014.

It is an arithmetic number, because the mean of its divisors is an integer number (26982774).

Almost surely, 2^1166361504 is an apocalyptic number.

1166361504 is a gapful number since it is divisible by the number (14) 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 1166361504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942759728).

1166361504 is an abundant number, since it is smaller than the sum of its proper divisors (2719157952).

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

1166361504 is a wasteful number, since it uses less digits than its factorization.

1166361504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22579 (or 22564 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1166361504 is about 34152.0351370164. The cubic root of 1166361504 is about 1052.6348050750.

The spelling of 1166361504 in words is "one billion, one hundred sixty-six million, three hundred sixty-one thousand, five hundred four".