1176564480 has 648 divisors, whose sum is σ = 4861179792. Its totient is φ = 241532928.

The previous prime is 1176564479. The next prime is 1176564497. The reversal of 1176564480 is 844656711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31799022 + ... + 31799058.

Almost surely, 2^1176564480 is an apocalyptic number.

1176564480 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 1176564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430589896).

1176564480 is an abundant number, since it is smaller than the sum of its proper divisors (3684615312).

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

1176564480 is a wasteful number, since it uses less digits than its factorization.

1176564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1176564480 is about 34301.0856971029. The cubic root of 1176564480 is about 1055.6952747934.

It can be divided in two parts, 11765 and 64480, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 1176564480 in words is "one billion, one hundred seventy-six million, five hundred sixty-four thousand, four hundred eighty".