1172920320 has 576 divisors, whose sum is σ = 4829479200. Its totient is φ = 259522560.

The previous prime is 1172920319. The next prime is 1172920327. The reversal of 1172920320 is 230292711.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172920327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13178836 + ... + 13178924.

Almost surely, 2^1172920320 is an apocalyptic number.

1172920320 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 1172920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414739600).

1172920320 is an abundant number, since it is smaller than the sum of its proper divisors (3656558880).

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

1172920320 is a wasteful number, since it uses less digits than its factorization.

1172920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1172920320 is about 34247.9243166648. The cubic root of 1172920320 is about 1054.6042165216.

The spelling of 1172920320 in words is "one billion, one hundred seventy-two million, nine hundred twenty thousand, three hundred twenty".