1172312064 has 468 divisors, whose sum is σ = 4370062320. Its totient is φ = 299335680.

The previous prime is 1172312017. The next prime is 1172312077. The reversal of 1172312064 is 4602132711.

It is a super-3 number, since 3×1172312064³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19869667 + ... + 19869725.

It is an arithmetic number, because the mean of its divisors is an integer number (9337740).

Almost surely, 2^1172312064 is an apocalyptic number.

1172312064 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 1172312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185031160).

1172312064 is an abundant number, since it is smaller than the sum of its proper divisors (3197750256).

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

1172312064 is a wasteful number, since it uses less digits than its factorization.

1172312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1172312064 is about 34239.0429772796. The cubic root of 1172312064 is about 1054.4218852219.

Adding to 1172312064 its reverse (4602132711), we get a palindrome (5774444775).

It can be divided in two parts, 1172 and 312064, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 1172312064 in words is "one billion, one hundred seventy-two million, three hundred twelve thousand, sixty-four".